(a) If the point (5, 3) is on the graph of an even function,what other point must also be on the graph?(b) If the point  (5, 3)is on the graph of an odd function,what other point must also be on the graph?

Q: . If the point (3, 4)is on the graph of the function f, then the point (--) is on the graph of f-1.

A: If (h,k) lies on f(x), then (k,h) lies on y=f^-1(x)

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: To find the parabola equation in terms of x.

Q: if x 1 4 -5 -4 -2 -1 3 -2 -3 -4 -5- 3.

A:

Q: True or false: The graph of the reciprocal function Ax) = has a break and is composed of two…

A: Given: The graph of the reciprocal function fx=1x has a brake and is composed of two distinct…

Q: Plot the points of the graph of f(x)=-(x-5)^2+5 that correspond to x-values of 3 and 4. Then plot…

A: Given that: The function f(x) = - (x - 5) 2 + 5 .

Q: What type of symmetry will the graph of an odd function have?

A: If f(-x)=-f(x) for all x, then f(x) is said to be an odd function. Odd functions are symmetric about…

Q: Suppose the point (6, 11) is on the graph of y=f(x). Find a point that is on the graph of the…

A: Given:     y= f(x) Point: ( 6 , 11) Find point for y = f(2x)

Q: If the point ​(9,−​14) is on the graph of a function​ f, then ​f(9)=​_____

A: According to the question,(9, -14) lies on the graph of the function, f and we need to determine…

Q: If the point (3,8) is on the graph of a function f, then f(_)=_. If g(-2), then (_,_) is a point on…

A: As we know that any point on a graph in 2D is represented as (x,y) where f(x)=y If the point (3,8)…

Q: _4. What is the graph of the function with an even degree and a negative leading coefficient? _5.…

A: To match the given statements with the given graphs.

Q: (a) If the point (5,3) is on the graph of an even function,what other point must also be on the…

A: A function y=f(x) is an even function if f(-x)=f(x) (5,3) is on the function means f(5)=3

Q: How is the graph of the entire function different from the graph for the real-life situation?  2)…

A: Answer for sub question 1; Given Cn=600+115nn Then, C'n=-1n2600+115n+1n115=-600n2-115n+115n=-600n2…

Q: Find the coordinates of a second point on the graph of a function ƒ if the given point is on the…

A:

Q: Sketch a graph of f(x) : -3 if a 2 5- 4 2 5 4 -3 -2 -1 1 2 3 4 -2 -3 -5-

A: For x≤ -1 , y is fixed at -3  For x>2 , y is fixex at 3  For -1<x≤2 , y=x  For this, we make a…

Q: If the point (5 , 8) is on the graph of the function f, then the point (x, y) = ( ? ) is on the…

A: Given ,  If the point (5 , 8) is on the graph of the function f We have to find the point (x , y) =…

Q: 24. Graph the piecewise function. State the domain and range. [2.r+7 if x<-4 f(x) = { 1 --x if x2-4…

A:

Q: In Problem,sketch the graph of each function.Be sure to label three points on the graph. f(x)=3

A:

Q: 6. If every horizontal line intersects the graph of a function f at no more than one point, f is…

A: By the statement of Horizontal Line Test: If every horizontal line intersects the graph of a…

Q: 10-Draw the graph of y=-2 (x-2)²+3 based on the power function f(x)=x' also determine the domain and…

A:

Q: Discuss the concavity of the graph of the function by determining the open intervals on which the…

A: Given function is : fx=-23x3-2x2-2x-5

Q: In Problem,sketch the graph of each function.Be sure to label three points on the graph. f(x)=x2

A: Given function: fx=x2 We can write the above function as y=x2

Q: 4. If the point (3, -5) is on the graph of a one-to-one function f, what point must be on the graph…

A:

Q: 4. Classify the function on the graph as odd, even, or neither. 2 2. 4 -2,

A: Graph of the function is given, we have to find it is odd or even or neither

Q: if the point (2,8) is on the graph of f, then f(2) =

A: The point 2,8 is on the graph of f.

Q: If f(3) = 13, then the point (3, is on the graph of f. %3D

A:

Q: Find the horizontal asymptote of the graph of the function. (If an answer does not exist, enter…

A: Given, The function  fx=x3-3x2+4x+1x2-4x+3 We have to find the horizontal asymptote of the graph of…

Q: This is the graph of a function. -5 -4 -3 2 -2 -3- -4+ -5+ Choose the graph of its derivative from…

A: Given query is to find the graph of the derivative.

Q: (b) If the point (5,3) is on the graph of an odd function, what other point must also be on the…

A: Odd functions are symmetric about the origin and satisfies f(-x)=-f(x) If (5,3) is on the graph then…

Q: I need help with the domain and range from this graph

A: Domain: Domain of a function is known as the values of x where the function is define. Range: Range…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: 2- 2 3 -2- -3- 구 4+

A: The domain of the function is the set of all possible values of 'x'. The range of the function is…

Q: What is the degree, leading term, leading coefficient, and constant term of the functions below? How…

A:

Q: he hypotenuse of an isoscles right triangle is to be made into a circle C. Express the area A of C…

A: Given that: An isosceles right triangle, whose hypotenus was made into a circle C.Length of the legs…

Q: QUESTION 14 List the intervals of increasing and decreasing for f(x) = -18x+67x +14. List all local…

A:

Q: sketch the graph of the function = 2-4cos x

A:

Q: 3 if x 1 5 4 5 -1 -1 -5 -4 -3 -2 2 3 4 -2 -3 -4 -5 Clear All Draw: 2] 2.

A:

Q: A graph of a piecewise defined function is given. y 5- 4 3 2 1 -5 -4 -3 -2 -1, 1 2 4 5 -1 -2 -3 -4…

A: Given: A graph of piecewise function defined is given by To find: A formula for the function in the…

Q: 3 if a 2 5- -5 -4 -3 -2 -1 -1 4 -2 -3 -4 -5- Clear All Draw: 3.

A: The sketch of the given function has been provided in next section.

Q: 4. What is the Horizontal Asymptote of the FUNction 1 -8 (x + 6)

A:

Q: On what interval is the function shown in the graph positive and decreasing?

A: We have to find the interval where the graph of function is positive and decreasing .

Q: Graph the function. f(x) = -x²+2 Plot five points on the graph of the function: one point with x =…

A:

Q: If the point (5, 6) is on the graph of the function f, then what point is on the graph of f −1 ?

A: First of all we will see the form of points on the graph of a function. Then we will use this form…

Q: Discuss the concavity of the graph of the function by determining the open intervals on which the…

A: In question, we need to find the concavity interval.

Q: If the point (3,7) is on the graph of f, then f(3) =               .

A: We know that if any point (x, y) is on the graph of any function f then f(x) = y

Q: 2х-1 f(x) (х-3)2

A: We have to find vertical asympototes

Q: What is an even function? An odd function? What symmetry properties do the graphs of such functions…

A:

Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

A:

Q: Sketch a graph of f(x) = 2|a| 5 4- 3 2 -5 4 -3 -2 -1 -1 1 2 з 4 5 -2 -3

A:

Q: The graph of f(x) contains the point (-2,2).Use the notation (a,b) to give the point.(a) What point…

A: Consider the function f(x) with the point (-2,2)We can also write the graph of f(x) as

Q: х — 6 if x 1 | 7

A: GIven:f(x)=-x-6   if x≤-2  -3         if -2&lt;x≤1x-4      if x&gt;1To sketch the above piecewise…

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.