Fill in the blank with the appropriate axis (x-axis or y-axis). (a) The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the. (b) The graph of y f(-x) is obtained from the graph of y = f(x) by reflecting in the

Q: Consider the function f(x)=(x+1)(x–1)2,   At what value of x will the graph of f cross the y-axis?…

A:

Q: Given, f(x) = √x + 1 Find an equation for f -1(x). Then graph f and f -1 in the same rectangular…

A: We first write f(x)=y, then we switch x and y. Then we solve for y.

Q: g. Graph y = f (x) and y = f- (x) on the same coordinate system.

A: Consider the function  f(x)=x-2 Writing f(x) as y. Solving the obtained equation for x.…

Q: Use the graph of y = f(x) to sketch the graph of f'(x).

A: Transformation on a parent function can be used to find the graph of a derived function. If the…

Q: Identify the domain, y-intercept, and 2x -6 x-intercept(s) of f(x) - x'-16 2х -6 By hand, sketch the…

A: Identify the domain, y-intercepts and x-intercepts of fx=2x-6x2-16 Sketch the graph of fx=2x-6x2-16

Q: The graph of y = -f(x) is the graph of y = f(x) reflected about the________ .

A:

Q: Draw the graph of f(x) – (x + 3)?

A:

Q: a) Sketch the graphs of y= fx) = -2(x – 3)² + 2 and y= g(x) = 4x – 10 on the same set of axes. b)…

A: For a function y=f(x), the set of real values of x for which f(x) is defined is called the domain of…

Q: Sketch the graph of the function

A: We need to sketch the graph of the function, y=e-x2

Q: How is the graph of g(x)=(x-3) related to the graph of f(x) = x?

A:

Q: Using the first and second derivatives, sketch a graph for y=3x^3-4x^2-2.

A: Solution: The objective is to graph the given equation y=f(x)=3x3-4x2-2

Q: Use the graph of y = f(x) below to graph the function y = –3f(x – 2) 5- 4- 3 2- y = f(x) 1- -6 -5 4…

A: topic - functions

Q: f(x) = -(x + 1).

A:

Q: Use the graphs of f and g to sketch the graph of y = f(g(x)). b. a. 2) -4 2.

A:

Q: sketch the graph and draw several vertical and horizontal traces. f (x, y) = 4 − x2 − y2

A: f(x,y)=4-x2-y2

Q: 20) y =f(2x) -6 -3 3

A:

Q: 2. Given the graph of y = f(x), sketch the graph of y =-f(x+1).

A:

Q: let f (x) =ex-1+3 which is the graph of x?

A:

Q: The point (214) is on the Graph of y =f() The point on the graph of y-gl), where glx) = f(xt 7) IS?…

A:

Q: f(x)=-4x+2/(x+1)^2(x+5) Sketch the graph label the xintercepts and the y intercept.

A: Given that, the function is fx=-4x+2x+12x+5.

Q: The graph of y =f(x+3)  is obtained from the graphof y = f(x) by shifting_________ 3 units.

A: Given, y =f(x+3)

Q: The graph of y = f(x)

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 2x3 + 8x² – 3x – 6 at x = -2.

A: 1. find the y coordinate by putting the value of x in the function. 2. Find the first derivative of…

Q: Using only this information, sketch the graph. f (x) = 1/9x3 - x2

A: Sketch the graph.     Fx=19x3-x2

Q: 2) Graph f(x) = (x x y 2 (²= 1 0 -1 -2 Fill in the table of values, then graph points and curve.

A: We have to solve above graph

Q: Sketch the graph of y = f(x). е.

A: The graph of y=f(x) will be

Q: Given the graph of y = f(x) sketch the graph of f'(x) 2 -2 -2

A: Given: The graph of fx as follows:   To sketch: The graph of f'x

Q: The graph of y = -f(x) is the graph of y = f(x) reflected across the -axis.

A: Known fact: The graph of y=-fx can be obtained by reflecting the graph y=fx across the x-axis.

Q: On the axes below, sketch a possible function p(x) = (x-a)(x-b)(x+ c), where a, b, and c are…

A: This is a graph problem

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

A:

Q: (a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? (b) How is the graph of y =…

A: Let the given graph is f(x). (a) To obtain the graph of y=f(x-3)+2 First, horizontally translate the…

Q: The graph of y = -f(x) is the graph of y = f(x) reflected about the ___.

A: Given that function y = f(x) and we are asked to find the nature of graph of y = -f(x).

Q: Use the graph of y = f(x) given above to find: a) f(-1) = b) f(-3) =

A: We have to find the following values using the given graph.

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: the given function, f(x)=ex and g(x)=e-xhere , f(x)=exdifferentiate the f(x) with respect to x , we…

Q: Use the graph of y = f(x) to sketch the graph of f'(x). 10+

A: The given graph is:

Q: 5. Sketch the graph of v: R ® R, v(x) = 2x² – 5x – 3, indicating the X- and y-intercepts, and the…

A: Given: v(x)= 2x2-5x-3.

Q: Use the graph of f(x) 5 %3D to sketch the graph of g. g(x) = %3D X-9 y 10 f(x)= 5 -4 -2 2 4 -5F 51X

A: As g(x) = f(x - 9)  So just shift the graph of f(x) right side by 9 unit.

Q: y = f(x), 하 4- 3- 2 -5 -4 -3 --1 45

A: Definition used -               Horizontal shift -             The graph of a function f(x)…

Q: How is the graph of y = f(x+2) – 1 obtained from the graph of y = f(x)? %3D

A:

Q: The graphs of x = 4, y = f(x) (s

A: Volume =∫ab A(x) dxA(x) = π[(Outer radius)2-(Inner radius)2]

Q: V3 1, a -1

A:

Q: The graph of y = f(x) is shown below. What is the graph of y f(x+ 1)- 2?

A: Given: y=fx+1-2

Q: (a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? %3D (b) How is the graph of y…

A: Shifting or change in the graph of the function f(x) is done by adding, subtracting, multiplying,…

Q: Sketch the graph of fx) - x - 2x and use the graph to sketch the reciprocal function. Explain how…

A: Sketch the graph of f(x):

Q: x < 0 6. Sketch the graph of f(x) = x2, x 20

A: Solution: The objective is to graph the given function

Q: (a) y = I+8

A: Solution is given below:

Q: Sketch the graph of the function. y = e−x/2

A: Graph of the function y = e-x2

Q: Let f(x)=3x^2-6x+7 a: Find the axis of symmetry  b: find the intercepts c: Graph

A: the axis of symmetry  is -b2a=66=1

Q: Sketch the graph of y=1/2f(-1/2x-1)+2 given the graph of f in the figure. y= fix)

A: We need to sketch the graph.