Choose the function whose graph is given by brainly. The function whose graph is y= 3 sin (x-2)+1.

Choose the function whose graph is given by brainly Setting the X-intercepts . 75)ˣ . Function notation explained. What is a function? A function has an input and an output. home / Mathematics. This answer is FREE! See the answer to your question: Give an example of a rational function whose graph has: - Two vertical asymptotes: [tex]x - brainly. y = cosx + 1 B. Honor code. The difference in these functions is due to the added or subtracted constants and the change in the sign of the function. Click here 👆 to get an answer to your question ️ "Question 5 From the choices given below, choose the equation whose graphs are given in the given figures. If the peak of the graph reaches a maximum value of 1, then the The function whose graph is given is y = sin (x - 2). f(1) = 2 + 1 = 3. If the line slopes upwards and crosses the y-axis at +1, the equation is y = x + 1; if it slopes downwards and crosses at -1, it is y = − x − 1. A function can be one-to-one or onto one. Well, as you may know, for x=0: Thus, for x=0, this functions is always equal to 1. We have four options: A. This means that the graph of y = sec(1/2x) is compressed horizontally by a factor of 1/2. To determine the function whose graph is given, we need to analyze the properties of trigonometric functions provided in the options. Identify Components of the Function: Check for inequalities which indicate open or closed circles on the graph. Since the graph show The function that describes the given graph appears to be a transformation of the basic tangent function, which can be denoted as: y = \tan(x - \pi) + 2 \ To understand this, we need to dissect the transformations applied to To determine the function whose graph is given, we should first observe the characteristics of the graph. The equation y = -√(9 - x²) represents the desired function. We determined a from h(0) and b from h(1) using the values from the graph. close. Instead, though, it happens 2π / 3. From the graph that is provided to us we observe that, If the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial. We have shown a trigonometric graph in the picture. where (h, k) represents the vertex of the parabola. The x- and y-axes both scale by one. Here, we have Given: the area under the graph of the function f for different intervals. Write the slope-intercept equation of the function f whose graph satisfies the given conditions. Choose the correct equation for the function whose graph is shown. That means that the coefficient of Find an answer to your question Choose the function whose graph is given by: IN OA. The bottom half of the parabola x + (y − 4)2 = 0 y = Question: Choose the function whose graph is given by: and rmations 4 5 2? 2% 3 4 T ormations phs eneral mations of Graphs : Practice O A. y=csc x. y− = (x−9) Find an expression for the function whose graph is the given curve. Given data , The vertex of the parabola is given as A ( 2 , 3 ) Now , The equation of parabola is given by . Given: Graph of a function f(x) is provided. Then the correct option is A. We note from the graph that it is straight line with the points (1, 0) and (0, -2) lying on it. Log in Join for free. verified According to the given graph, Three zeros, Choose the value of a: If there’s specific information about the function’s behavior at certain points or an The exponential function f, whose graph is given below, can be written as f(x) = 4 (1. To find a function f whose graph is a parabola with the given vertex and that passes through the given point, we can use the vertex form of a quadratic function: f(x) = a(x - h)^2 + k, where (h, k) is the vertex. The graph is shifted 2 units down. For example, 2x+5 is a polynomial that has an The obtained function after performing translations in left and upward directions is f(x) = 4+(x+5)³. 5cosx. This can be represented mathematically by adding 19 to the function: f (x) = ∣ x ∣ + 19. So,It is not true. for Vertical stretch multiply the factor by f(x) f(x) becomes 2f(x) so the function becomes 2x . The graph of the function y = 2sec(1/2x) is represented by option B. When we reflect a function f(x) over the y-axis, we substitute x with -x in the function. It is not the correct answer. The graph has one vertical asymptote at x=2 The rule for the given function, whose graph can be obtained from the given parent function by performing the specified transformations, is written below. Draw a vertical line: From the point x = 5, draw a vertical line upwards until it intersects the curve of f (x). Note the graph has an x-intercept at x=3 and a y-intercept at y=−3. As we know: At x = PLEASE HELP Choose the function whose graph is given by: A. Step 1: Identify the rational function whose graph is given below. y = tan(x) C. y=2. (a) To find the limit as x approaches 1, we look at the graph of f(x) near x = 1. Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts. When Substitute . y=tan(x + 2) - pi O B. The graph of f passes through (-8,6) and is perpendicular to the line that has an x-intercept of 4 and a y-intercept of -8. y = 2csc(-x) 12s J The required function is y = 3 sin (x -2) + 1. cot x. What is Function? An phrase, rule, or law that establishes the link between an independent variable and a dependent variable is known as an unction in A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function. Fo Final answer: The function whose graph is the bottom half of the circle x² + y² = 9 is y = -√(9 - x²). tan (t) Check the behavior of each function: Option D: y = cos (x + 2) This function represents a horizontal shift of the cosine function to the left by 2 units while maintaining its original range of [− 1, 1]. The general format for sine and cosine functions is: For sine: y = A sin (B (x To analyze the given graph let us, compare the given to a known, standard function; take maxima and minima points from the graph and analyze them. The parent graph of sec(x) has a period of 2π, while the given function has a period of 4π. f (x) = 3 (x + 1) 2 x + 2 . Given: Transformation: Vertical stretch by a factor of 2 followed by a translation 1 unit up. Here, 'm' represents the slope, or the For (a), if g (2) = 3 but it has an open circle at x = 2 in the graph of g, then the limit does not exist at that point. g (x) = 0. (b) The limit of f(x) as x approaches 3 from the left does not exist. For (c), at x = 3, if the left limit is 4 and right limit is 6, then the overall limit does not exist. ; Observe the behavior of the graph: Is it Final Answer: The given statment, For the function g whose graph is given, state the value of each quantity, if it exists is DNE. The cosine function is defined as. If the graph of the given function f(x) is shifted 5 units to the left. Explanation: To find a function whose graph is a parabola with a given vertex and passes through a given point, we can use the standard form of the equation for a parabola: y = a(x - h)^2 + k, where (h, k) is the vertex The exponential function g, whose graph is given below, can be written as g(x)=a\cdot b^x. If m = − 2, then the function would be: y = − 2 x + 8. Step 1: Shift the Graph Up. Ask Question. For no value of x-intercepts, the function become, y = 0. Give an equation for the stretched or compressed graph. Thus the correct option is (a). The exponential function can be expressed as h(x) = 3 * 2^x, where a = 3 and b = 2. 08/04/2020. -60+3+2+-1nOA. identify the parent function. 2. Therefore, the function f(x) = -sqrt(9 - x^2) represents the desired graph. To find the domain of the function, determine the set of all possible x-values for which the function is defined. The exponential function h, whose graph is given below, can be written as h (x) = a ⋅ b x. Therefore, the equation of the graph is $$y=3\sin (x+3) Write the Function: With A = 3 and B = 4, we write the function as: y (t) = 3 cos (4 t) Therefore, based on the graph's characteristics, the function whose graph is represented would be y = 3 cos (4 x), matching answer A. For teachers. The equation of the circle given is x^2 + (y − 3)^2 = 4. 5cos(x). What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)? Enter your answers in the boxes. Find a formula for the function whose graph is the given curve. ; Mathematically - {θ} = angle theta {a} = length of opposite side a {h} = length of The correct function for a linear function whose graph has a y-intercept at 6 is y = mx + 6, where 'm' is the slope. Depending on the graph's orientation, choose either option A or B accordingly. * (see the analysis in the picture attached-above) Still have questions? The graph is a sine function. 4 g(x)= 3 x+5 Final answer: To create a function with a vertical asymptote at x = 4 and a slant asymptote at y = 5x + 2, we can use a numerator polynomial of degree 2 and a denominator polynomial of degree 1. verified. 3. What is a function? A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. (Enter your answer using interval notation. Get the answers you need, now! WILL ASSIGN BRAINLIEST determine the quadratic function of the form f(x)=a(x-h)^2+k Whose graph is given below Graph shows -3,8 and 0,-19 Determine the quadratic function f whose graph is given. ) The line segment joining the points (3, -3), and (7, 3) Find the domain of the function. f ( x ) = 3sin ( x ) when the function is translated 3 units to the left and 2 units down , we get. Complete the equation for h (x). Find an expression for the function whose graph is the given curve. Then, formulate the function as either y ( x ) = A cos ( k x + ϕ ) or y ( x ) = A sin ( k x For the function h whose graph is given, state the value of each quantity, if it exist. What is asymptote? An asymptote is a line that constantly reaches a given curve, but does not touch This answer is FREE! See the answer to your question: ️10 points ️ Graph the function. The problem states that we need to shift the graph up by 19 units. This function reflects the properties of secant, particularly the asymptotes and y-intercept observed in the graph. A graph contains data of which input maps to which output. com search. The vertex is (-2,-7) y intercept -3 f(x)= To find the rational function whose graph has an x-intercept at a = -3 and a y-intercept at y = 1, we can start by using the standard form of a rational function, which is typically expressed as: (a) The limit of f(x) as x approaches 1 is 3. So, the slope of the line is. From the graph, we get the points (0, 4) and (1, 7). What is Range of Cos function ? Range of Find an answer to your question Choose the function whose graph is given by: A. The functions can be analyzed based on how they affect the basic tangent function, y = tan (x). Option C The function whose graph is given is y = 0. y=√x+1, stretched vertically by a factor of 3 The equation of the stretched graph is y=. because Substitute . vertical asymptote at x=−2 . Join for free. com [FREE] Find a function whose graph is the given curve. Shift the graph 2 units to the right. Mathematics; To choose the correct function from the given graph, we first need to identify key characteristics such as the amplitude, period, and shift, which are crucial for sinusoidal functions like sine and cosine. Now, we know that 'tanx' has this type of graph. 5sin x C. Plugging these values into the equation, we have: Chose the functions whose graph is given by Get the answers you need, now! chose the functions whose graph is given by - brainly. What are the asymptotes of a function f(x)? The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator. A sine function is maximum at 90 degrees or pi/2 radians. The equation x^2 + y^2 = 9 represents a circle with radius 3. ) The direction of the graph of the given function and by what factor the function is to be stretched or compressed are given. Amplitude: This is the maximum distance from the midline of the graph. Analyzing and plotting the given piecewise functions reveals that g(x) matches the expected behavior of the graph more closely than the others. - brainly. sin0 = -2/3 2. Here is a step-by-step process to find the formula: Enter the data points of the curve into a calculator and make a scatter plot. Analysis of this leads to the relations which were used to make it. If it does not exist, explain why. cos (6 t − 4) b. y=3. f(x) = a(x - h)^2 + k. The rational function whose graph is given has the form f(x) = (32 * (x + 3)) / (x + 2). It is the height of the wave from the To determine which function graph is represented by the given equations, we will examine each option using a specific point and function characteristics. To analyze the given graph let us,. From the graph, we see that the amplitude $$A=3$$ A = 3; Determine the period $$T$$ T, which is the time it To find the function corresponding to a graph, identify the graph's amplitude, period, and whether it resembles a sine or cosine function. It means that the graph of cosine function is shifted 2 units to the right compared to its original graph. Use the calculator's regression function to find the equation of the least-squares regression line. From the graph, we can see that as x approaches 1, the value of f(x) To find the equation of a function whose graph is represented in the format y = (x + h) 2 + k, where h and k are constants, we need some information about the graph, such as the vertex or any points on the graph. 5 sin(x). Identify the Type of Function: We have to choose the function whose graph is given. To find the correct function whose graph matches a given representation, we can analyze the options provided based on key characteristics such as amplitude, period, phase The function represented by the graph is option B . Then, But in graph at , y=-1. The cosine function, y = COS X + 3, for instance, is shifted three units upwards on the graph from the standard cosine function The trigonometric function graphed in this problem is given as follows:. Here, the zeros and roots are the same, where function become equal to zero. What is sine function? What is sine series? What is law of sines? In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. ) f(x) = x + 4 x2 − 4 2. The terms "domain" and " codomain " are used to describe the sets X and Y, respectively. C. Hence, Option A. y = ax² + bx + c . Vertical asymptote at x = -2 Here, x is the roots of the function. Log in Join for Draw the line through these As you can see from the graph provided, the number of cycles of the function is 5. In this function, the horizontal shift of 2 units to the right is indicated by the transformation x - 2. Graphs of periodic functions, like sine and cosine, have specific shapes that can help us identify which function corresponds to them. Given the vertex (-1, 5), we have h = -1 and k = 5. Step-by-step explanation: In the exponential form of The equation of the parabola is also given by the equation. The slope is calculated using the formula (y2 - y1) / (x2 - x1), and the y-intercept is found by substituting the slope and one of the points into the equation. ) A sine graph or curve is a type of graph that moves in a sinusoidal wave form. The equation of the function is (Use integers or fractions for any numbers in the equation. Then we get . Parent function: f (x) Transformations: 1. To find a function that represents a parabola with the given vertex and passing through the given point, we can use the standard form of a quadratic function:. The use of the vertex form of a quadratic function is a widely accepted method in mathematics for identifying equations of parabolas given specific attributes such as the vertex and points of intersection. Therefore, the correct option is D. Choose the function whose graph is given below. What is a function? Function is a type of relation, or rule, that maps one input to specific single output. Shift it upward 2 units. y = s Click here 👆 to get an answer to your question ️ Choose the function whose graph is a parabola. c. f (x) = 0. The graph of this function will show a parabola with the vertex at point (8, -2) and passing through the point (9, 4). The function plotted in the graph is given by - g(x) = 3. The graph is shifted 3 units to the left. Find the domain of the function. cos 2 (t) c. Substitute . What is Function Of cos? Cos function is ration of adjacent side to hypotheses. Stretch it horizontally by a factor of 2. Therefore, f(x) = -cos x + 3. An open circle means that the endpoint is not included, while a closed circle means it is. y-intercept at y = 32 . Given that the vertex is (-2, -5) and the function passes through the point (4, 4), we can substitute these values into the vertex form and solve for the value of 'a'. ) To identify the exponential function from a given graph, we typically look for a function in the form: f (x) = a (b) x Where: a is the initial value or y-intercept, ; b is the base representing the growth or decay factor. What is a function? Function is a relation between the input and the output of a system. Given x-intercepts at 0 and -3, we can construct a numerator that This answer is FREE! See the answer to your question: Graph the given function and choose the key features that apply to its graph. A coordinate plane. f(x) = 2 sec(x/2). Step-by-step explanation: Option A can't be the answer as the equation is linear in form or forms a straight line. Click here 👆 to get an answer to your question ️ Choose the function whose graph is given by: 5 OA. Sec x. Step 2 The expression for the function whose graph is the top half of the given circle is y = 3 ± √(4 - x^2). After applying the changes to tanx provided in the options, we see that this graph is of tan(x-) - 1. y =tan(x - 2) + 1 O C. y -2cos(3x) y 2cos( x The function whose graph is shown corresponds to g(x), which consists of piecewise segments defined for different ranges of x. y= sin(x + 1) C. To determine the correct function whose graph is given in your question, we will analyze each option: Option A: y = sec x The secant function (sec x) has a graph that consists of vertical asymptotes and has a U-shaped appearance in each interval between its asymptotes, which is not the shape of a tangent graph. The graph is an increasing exponential function that passes through the points (0, 3) and (1, 6). The whose graph is the line segment joining the points (1, −2) and (5, 8) is f(x) =formula for the function 2x - 2. f(2) = 2 x 2 + 1 = 4 + 1 = 5 Drawing the graph of all the trigonometric functions which is given in the option and then matching with the graph . for the function whose graph is shown below, which is t - brainly. then use the steps for graphing multiple transformations of functions to list, in order, the transformations applied to the parent function to obtain the graph of g. y = csc XB. y = |x + 9| y = 3 y = x 2 - 10 y = -2x The correct answer is option A which is the equation of the given graph is y = 2cos(3x). The limits depend on whether the graph approaches a specific y-value, differs from both sides, or goes to infinity. What are absolute maxima and absolute minima? The absolute maxima and absolute minima are the points on the graph where the graph shows the highest and the Final Answer. y=sin(x-2) OD. Brainly App. The equation of exponential function is the equation of the form . What is function? What are trigonometric functions? A function is a relation between a dependent and independent variable. Original function f(x)=x . For the example, if Each option represents different transformations of the tangent function, including vertical and horizontal shifts and changes in period. Explanation: The inverse of a function is determined by interchanging the domain and the range. Understanding the Functions: Each function presented has a specific amplitude, phase shift, and vertical shift. Choose the correct option: a. y = cot(x) B. Explanation: In this mathematical problem, we are asked to determine the limit of the function g as t approaches 0 from the left side (t → 0-). Determine the y-intercept: This is the point where the graph crosses the y-axis (at x = 0). Initially, functions represented the idealized relationship between two changing quantities. Considering it's asymptotes and intercepts, the rational function is given by: . Ughhhhhhhhhhhh18. 5sin x The correct function whose graph corresponds to the given options is D: y = csc x. y = x² + 6x + 13. Lastly, for (d), at x = 4, if the function is defined at 7 while Click here 👆 to get an answer to your question ️ Choose the function whose graph is given by: O A. The function whose graph is given by: y = sin x-3 because sin starts at 0 and goes up. y = cotxC. What is Function? In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. h (x) = Final answer: To find the formula for the function whose graph is the line segment joining two points, we use the slope-intercept form equation. y = tan(2(x + 7)) - 1 O B. Brainly User Brainly User Answer: g(x)=8* (1/4)^x. Where, a is amplitude, b is frequency, c is phase shift and d is vertical shift. Now, only the sec function has the property that; y=2sec(2x) The function whose graph is given by A y=2sec A mathematical function from a set X to a set Y assigns exactly one element of Y to each element of X. y = cos(x + 1 Get the answers you need, now! The correct function whose graph is given by the provided graph is y = cos(x - 2) (Option B). Given that, a graph we need to find its function,. Explanation: The correct function and equation for a linear function whose graph has a y-intercept at 6 could be y = mx + 6. The point at which the graph reaches its minimum (or maximum) is This answer is FREE! See the answer to your question: Identify the rational function whose graph is given below. From the given graph, it follows a sine wave pattern but starting from the negative To write the equation for the function described, we start with the basic function of the absolute value, which is given by: f (x) = ∣ x ∣. The value of the limit is represented as lim(t → 0-) g(t). How shifting of the graph takes place? If a graph is shifted k units to the left, then x is replaced by x+k while if a graph is shifted k unit upward, f(x) becomes f(x)+k. The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is To determine the correct graph for the given function, we need to carefully analyze the components of the function and how they translate visually on a graph. A. X-intercepts occur where the numerator is zero. Cosec x. It simply indicated the relationships between the input and the output. 5 rating The sets X and Y are collectively referred to as the function's domain and codomain, respectively. y = a ( x - h )² + k . ; x is the for the function f whose graph is given below, list the following quantities in increasing order, from smallest to largest. If the function were just cos(x), then the second peak would happen at 2π. To find : Function G whose graph is a vertical stretch by 2 and move one unit up . Identify the graph characteristics: . The graph is an increasing exponential function that passes through the points (0, 2) and (1, 6). The domain is the input values, and the range is the output values where the function is defined. com We are required to find the function whose graph is given. y = a(x - h)² + k. We can see below that after plotting tan(x-) - 1, its graph is same as that of the graph given to us. B. The specific linear equation depends on the slope of the line. See the answer to your question: Find a function whose graph is the given curve. y-intercept =3/2 . For students. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. com Answer: The correct option is (D) Step-by-step explanation: We are given to select the correct formula for the function that is graphed in the figure. Complete the equation for f (x): f (x) = To write a quadratic function in standard form that satisfies the given characteristics, we use the vertex form of a quadratic function: f(x) = a(x-h)^2 + k, where (h, k) represents the vertex. \ (b) \ 5: The right-hand limit as x approaches -3 is 5, since the function approaches the value 5 from the right side as you near -3. Here are the steps you can follow: Locate x = 5 on the horizontal axis: Start by finding the point on the horizontal axis (the x-axis) where x = 5. From given, we have, g (x) = a · b^x. To identify the rational function whose graph is given, we need to consider the key characteristics provided: x-intercept, y-intercept, and vertical asymptote. Final answer: The function f(x) whose derivative is sin x and whose graph passes through the point (0, 2) is given by the integral of sin x, adjusted with a constant of integration, which in this case is 3. For parents. Identifying the Point at x = 0: When x = 0 , the value of h ( 0 ) is Using the Graph below, find the point(s) whose coordinates satisfy the given condition. 4. What is a graph? A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. Substitute x=0 then . How to write the equation . Explanation: To find a function whose graph is the bottom half of the circle x² + y² = 9, we can solve the equation for y and then take the negative square root to get the bottom half of the circle. Tan x. y = 3 [ sin ( x To determine which function corresponds to the given graph, we must analyze each function provided: Identify the functions: The options given are: a. Hence, to find the inverse of the function at x=-1, we need to look at the graph and find out at The rational function whose graph is given below is f(x) = (3/2) * (x + 3) / (x + 2) . What is a function? It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range. If m = 1, then the function becomes: y = 1 x + 8 or simply y = x + 8. A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable). True is the right choice. These are different first-degree polynomial functions that all intersect the y-axis at 8. Since the line passes through the point (1, 0), so the equation of the line will be. The given graph matches with graph of. Textbook Solutions. The function hat represents the graph plotted in the image is - . Find an answer to your question Choose the function whose graph is given below. com A relation is not a function if a given input corresponds to two or more outputs. But from the graph you may note that the function for x=0 is equal to -3, hence, Therefore the answer is: I attached you the graph, so you can corroborate the answer. y = 0. sec0 = 2/1 To identify the correct formula for the function's graph, analyze the slope and y-intercept of each equation. Thus, option D represents the cosecant The function whose graph is given by y= 3 sin (x+3) - 2 . For (b), the function has a gap at x = 3 where the limit still approaches a defined number, such as 5. We use the given function to for vertical stretch and shifting up . y = sec x-1-2 Get the answers you need, now! The functions presented are all trigonometric functions, specifically sine and cosine functions. The y-intercept is (0,−1/2). Identify the function's The function whose graph is given below is y = tan (x). \ (c) \ DNE: The overall limit as x approaches -3 does not exist due to the vertical asymptote at To determine the value of f (5) for the function f (x), we need to refer to the graph of the function provided. The secant function is the reciprocal of the cosine function. The function whose graph is given by is y = cos x + 1. Two Persian mathematicians named Al-Biruni and Sharaf al-Din al-Tusi are credited with creating the earliest known notion of function. the top half of the circle x²+(y-4)2 = 4 y = 6-x Community Answer Find a function whose graph is the given curve. So, it is false The function whose graph is y= 3 sin (x-2)+1. The given graph has two absolute minima as no points are below them and one relative maximum as there is a change in direction from increasing to decreasing at that point. So our answer should be between . If c>0, then the graph shifts c units left and if c<0, then the graph shifts c units right. Where h, k are the coordinates of the vertex. com. f(x)=2f(x)=2x\ For moving up , we need to add the units at the end of The standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point is;. Brainly. y = sec (2x) OC. Y= csc x How to identify the trigonometric function graphed? The vertical asymptotes of a function are the values of x which are outside the Write a function whose graph represents the indicated transformation of the graph of . This conclusion is based on recognizing the vertical asymptotes and the behavior of the graph. Now, The rational function whose graph is given below has an x-intercept at x=−3 and a y-intercept of y=3/2. If m = 5, then the function would be: y = 5 x + 8. com See what teachers have to say about Brainly's new learning tools! Substituting the given vertex and point into the equation, we can find the value of 'a' and the function. The function that we are given graphed has the point (0,2), this means whichever function f(x) it represents f(0) = 2. Function notation is a way of representing a mathematical function using symbols and variables. But the cosine graph would cut the y-axis at a positive y-value, while the sine graph does that at a negative y-value. com we can choose a denominator that factors to (x-2)(x-3). Answered - Expert-Verified. The value at this point will give you the value of a because g (0) = a ⋅ b 0 = a. menu. options. Log in. From the given graph we can pick the points which can tell us about the nature of the cosine function we took, It is clear from the graph that the function plotted is 2 times greater than the Given data , Let the parent function be represented as f ( x ) Now , the value of the trigonometric function f ( x ) is . In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The top half of the circle x²+y²=9 - brainly. y=sin(3x) D. Identify the Vertex: The vertex form of a quadratic function is given by y = (x + h) 2 + k. If the function approaches a specific value as x gets arbitrarily close to 1, then that value is the limit. 5 (x − 2) + 2 The graph has an asymptote at y = 0 and is increasing as x approaches positive Infinity. Only selection B is a function, as it is the only one that doesn't have points one on top of another (same x, multiple y-values). Learn more about the x-intercept here; The exponential function f (x), whose graph is given below, can be written as f (x) = a ⋅ b x. 5cos x B. The amplitude of the graph is 3. Example: f(x) = 2x + 1 In order to determine the graph that represents the given cosine function, we would have to determine the amplitude (maximum displacement or height); y = acos(x). y=tan To express the exponential function g (x) = a ⋅ b x in a specific form, we need to determine the values of the constants a and b. Taking the square root of both sides, we get y = sqrt(9 - x^2). The graph has one vertical asymptote at x=−2 (x + 3) / (x + 2) The function notation formula is given as g(x) = f(x/2) . a: ∫08f(x)dxb: ∫58f(x)dxc: ∫48f(x)dxd: ∫04f(x)dx Community Answer This answer has a 4. We are given; Vertex coordinate; (-3, 4) A point on the graph; (0, 13) The vertex form of a quadratic equation is given by;. y = tan xD. f(x)=a⋅bˣ . then we get (cos 0=1) But in graph y - intercept at y=2 . Therefore, given graph is . Find solutions for your homework Find solutions for your homework mathalgebraalgebra questions and answersquestion 9 10 pts a function g is given. Example: f(x) = 2x + 1. y= sin(x+2) OC. (Assume that the points are in the form (x, f(x)). Therefore, y- intercept is at y=2. Parent function f(x)= x³. Since this is a linear function, the domain is all real numbers (-∞, ∞). We can write the examples of function as - . What is the polynomial function?. where the vertex of the parabola is A ( h To evaluate the limits and asymptotes of the function f, analyze the graph as follows: observe its behavior as x approaches + ∞, − ∞, and specific points like 1 and 3. search. . Explanation: The student is asking for the expression of a function that represents the top half of a circle. Given characteristics: x-intercept at x = -3 . Trigonometry question Given the following function, choose the graph with the two possible angles with the domain 0 ≤ 0 ≤ 360 degrees. Test Prep New. The graph represents the trigonometric function y = cotx option (C) is correct. y = csc(x) A good starting point is to check the y-intercept of the graph. Option B is the correct answer. When x=0 . Option C is the correct answer. Explanation. Using point The polynomial function whose graph could be the one shown in the image is f(x) = x³ - x² - 25x - 25 . When selecting the function whose graph matches a given transformation, we need to know specifically what those transformations are, such as vertical or horizontal shifts. If we put x = zero in all the remaining equations, we get Find Math textbook solutions? Still have questions? Choose the function whose graph is given by Get the answers you need, now! Determine the amplitude $$A$$ A, which is the maximum value of the function. y = f(x, y, z) = ax + by + cz To choose the correct function that represents the graph of a wave, we need to analyze the characteristics of the wave using the given mathematical function form: y (t) = A cos (− 2 π f t + ϕ) Identify the Amplitude (A): The amplitude represents the maximum displacement from the rest position (y = 0). A parabolic curve is drawn whose axis of symmetry is parallel to y-axis and its vertex is at (1,-3); is passing through co-ordinates (3,1) and (-1,1). Selecting the correct option depends on the specific characteristics of the graph provided. a) The Abscissa is -2 b) The x coordinate is positive c) The Ordinate is 1 d) The y coordinate is negative e) the sum of abscissa and The formula for the function whose graph is the given curve can be found using regression analysis. To find the formula for the function representing the given line segment, we can use the slope-intercept form of a linear equation, which is y = mx + b, where "m" is the slope of the line and "b" is the y-intercept. Brainly Tutor. No matter the value of m, you will always have your y-intercept at 8. Explanation: To find a function whose graph is the bottom half of the circle, we can start by rearranging the equation of the circle to isolate y. From the graph, it is clear that the given function passes through the origin(0, To determine the function whose graph is represented among the given options, we need to analyze the basic characteristics of each trigonometric function listed: Y = csc(x): The cosecant function is the reciprocal of the sine Choose the function whose graph is given by Get the answers you need, now! Skip to main content. . Explanation: To create a function with a vertical asymptote at x = 4 and a slant asymptote at y = 5x + 2, we can start by determining the behavior of the function near x = 4. y= cos(x-1) OB. Therefore, the y-intercept of this cosine The graph below is a wave that cuts the y-axis at a point close to -1. Substituting these values into the equation will help us solve for a and b . Now, why -3. The graph of equation The function whose graph is given is y = 2 sec (2 x) due to its vertical stretch by a factor of 2 and horizontal compression resulting from the argument being multiplied by 2. Thus, the correct formula for 1. To find: Complete the equation for g(x) Solution: Consider the attached graph while going through the following steps. y = sec(x) D. \\[ f(x) = - - brainly. We are given that; x-intercept =−3 . To define a function g that represents the reflection of the function f(x) = |6x| - 2 in the y-axis, we need to utilize the concept of function reflection. This answer is FREE! See the answer to your question: Choose the function whose graph is given by: O A. y=-3. 1. This answer is FREE! See the answer to your question: Write a cubic function whose graph is shown - brainly. y = sec(x) +2 B. To determine the function whose graph is given by the provided options, we analyze each suggested function considering characteristics of trigonometric functions, specifically cosine functions. Therefore, an expression for the function whose graph is the line segment joining the points (1, -5) and (5, -3) is f(x) = (1/2)x - 11/2. Required: To find the inverse of the function f − 1 (− 1). y=tan(x - pi) + - brainly. Find the Which function matches the graph? A 2-dimensional graph with an x-axis and a y-axis is given. To determine the exponential function h(x) in the form h (x) = a ⋅ b x, we need to find the constants a and b based on points from the graph of the function. Therefore, we can write the reflected function g as: g (x) = f (− x) (a) \ DNE: The left-hand limit as x approaches -3 does not exist because the function appears to have a vertical asymptote at this point. It is a shorthand way of writing the rule or formula for a function, which specifies how the input values (usually denoted by x) are transformed into output values (usually denoted by y or PLEASE ANSWER ASAP TODAY WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER. y = f(x) = ax + b . What is Function? A relation between a collection of inputs and outputs is known as a function. b. where a , b , and c are the three coefficients and the parabola is uniquely identified . y = 2sec(-x) OD. compare the given to a known, standard function; take maxima and minima points from the Hence function 's graph is option D . It is given that . naqek gmlt arz plrqt upehih etopi tsvmlt wjthpwn kmrux lhm