y 4- 3+ 2- 1t -54-3-2-i 1 2 3/4 5 -2- -3- * en

Q: Does the function have an inverse function?

A: Consider the following table:       Determine the function have an inverse function or not?

Q: The graph represents the probability of two people in the same room sharing a birthday as a function…

A: The graph of a function is given.

Q: Find the inverse of the function. Consider the point (5,-6), is the point on f(x) or the inverse of…

A:

Q: Which function best represents the inverse of the function whose graph is shown below? Ay -2 -2 of1…

A: Please see the explanation below

Q: The given function is not one-to-one. 9(x) = (x- 3)2 y 10 -10 -5 10 -5 -10 Restrict its domain so…

A:

Q: Does the given graph (see attached) represent function that has an inverse function?

A: Horizontal line test: If we draw horizontal lines through the graph and if the lines cut the graph…

Q: An skating ring was running a special on group rates by allowing a group of 15 people for only $165…

A:

Q: . If the point (6, -7) is on the graph of the function f(2), which point is on the graph of the…

A:

Q: 1. If a function is defined by the equation y = 3x+ 2, which equation defines the inverse of this…

A: Given y=3x+2 To find out the inverse of the function, replace y by x and solve for y

Q: Tell whether the function is Ilinear or nonlinear. 5 4 3. 2 -5-4-3-2 1 2 3 4 5 x -2 -3 -4 -5 O inear…

A: To solve the given problem we find the equation of graph.

Q: Find the inverse of the function on the given domain. f-1(x) = f(x)=(x-4)2, [4,00)

A:

Q: Graph the inverse of the given function. 9. Function Points (- 2, - 4) (0,1) ( 2,6)

A: Given:        Function points :                       -2,-4                         0,1…

Q: Which of the following statements is FALSE? The domain of a function is the range of its inverse. y…

A: False statement is  If the point (3, 2) is on the original function, then the point (-3, -2) is on…

Q: (a) Verify that the function below is one-to-one; (b) find its inverse.{ (1, 2), (3, 5), (5, 8), (6,…

A:

Q: A parent is using a garden hose to fill up a small inflatable pool for her young child. The pool has…

A: A parent is using a garden hose to fill up a small inflatable pool for her young child. The pool has…

Q: What is the domain of the inverse of the function shown in the graph below? 4 2 1 2 3 4 -2 -1 -2 -3…

A: Domain of inverse function is same as range of the original function.

Q: What is the inverse of the function y= 2(x +1)7 Hint: Make your graph on graph paper and then, pick…

A:

Q: Does the given graph (see attached) represents the function that has an inverse function?

A: Horizontal line test: If drawing a horizontal lines through the graph and that lines cut the graph…

Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

A: To find-  Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

Q: What is the domain of the inverse of the function shown in the graph below? -5 -4 -3 -2 -1 1 2 3 -1…

A:

Q: Does the given graph (see attached) represents the function that has an inverse function?

A: If drawing a horizontal lines through the graph and that lines cut the graph only once each. Then…

Q: If the following defines a one-to-one function, find its inverse. If not, write "Not one-to-one."…

A: In this relation for each x, there is only one y, so it is a function. So there will be an inverse…

Q: The graph of a function and its inverse are always symmetric across which of the following lines?…

A: The graph of a function and the graph of its inverse are symmetric with respect to the line…

Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

A: A=2πr2+8πr⇒2πr2+8πr-A=0Now apply quadratic formula ,r=-b±b2-4ac2aHere a=2π , b=8π, c=-ANow ,…

Q: Part a: Assume that the height of your cylinder is 6 inches. Consider A as a function of r, so we…

A: (A)   It is given that A is function of r, that is A(r)=2πr2+12πr. Where A is the area of the…

Q: Is the inverse of a function always a function

A: Is the inverse of a function always a function

Q: 5) Find the inverse of the function f(x) = (x − 3)² + 2, x ≥ 2. Also write out the check. Then graph…

A: Given f(x)=(x-3)2+2, x≥2   To Find: the Inverse of the function f(x) and the graph both the function…

Q: 3) f = {(0, a), (1, d), (5, e), (9, c)} find the inverse of this function.

A:

Q: mIC %3D Determine whether the two functions g(x) = (x-5)³ and h(x) = VI+5 are inverses. h))= glh-9(…

A: Solution is given below:

Q: State why the graph of the function f shown to the right is one-to-one.Then draw the graph of the…

A: Clearly no horizontal line passes through more than one point on the given graph. Hence given…

Q: Which point is on the graph of the inverse function h-(x)? The table shows several points for…

A: We can find the values of h-1(x) from the table.

Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

A:

Q: Which of the following statements describe a functions? OA amount of revenue a pretzel company makes…

A: Part (a) Yes, because revenue of any company depends on selling.

Q: If the point (3, -2) is on the graph of the function f(x), which of the following points is on the…

A: Explanation of the answer is as follows

Q: a. Find the inverse of ƒ(x) = -x + 1. Graph the line y = -x + 1 together with the line y = x. At…

A: PART a.The given function is y = ƒ(x) = -x+1To find the inverse of this function we interchange x…

Q: Part III. Find the inverses of the following functions. 4. f(x) = mx + b,m # 0

A:

Q: The value of a graphed function doubles for each increase of 1 in the value of x. Which of the…

A: given

Q: The graph shows three labeled points. Click on the location of their corresponding points on the…

A:

Q: 2. Graph the inverse of the following function. Is the inverse a function?

A:

Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

A: Part a: Ar=2πr2+8πr Here, we can see that the function A(r) is a polynomial function. The domain of…

Q: The range of the inverse of the function f= {(1,4), (2,9), (3, 14), (4, 18)} is

A: The domain of an inverse function is the range of the original, and the range of an inverse function…

Q: If the point (6, -7) is on the graph of the function f(x), which point is on the graph of the…

A: The point (6, -7) is on the graph of the function f(x)

Q: Function c is defined by the equation c(n)=50+4n. It gives monthly cost, in dollars, of visiting a…

A: The function shows monthly cost, in dollars, of visiting a gym as a function of the number of…

Q: Write an equation of the function g(x)  that is the graph of  f(x)=|x| , but shifted right 3 units…

A: f(x)=|x|

Q: Which image correctly shows the graph of function and its inverse? 5- -5 -5- 5

A:

Q: Which answer is correct and why?   What is the horizontal line test and what does it indicate?   A.)…

A: We have to check

Q: (a) list the domain and range of the given function, (b) form the inverse function, and (c) list the…

A: Given the function: f=-2,1,-1,1,0,5,5,10

Q: y = x+6 - ID I0

A: Graphing a function

Q: Which of the following is a one-to-one function. 10 y -10 10 10 10 -10 10 10 10 -5 10 -10 10

A: Now draw a vertical and horizontal line if line intersect more than one point Than this is not a…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.