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Chapter 2: Q. 25 (page 113)

Write the function whose graph is the graph of y=x3, but is:

Vertically stretched by a factor of 4.

Short Answer

Expert verified

The function isy=4x3

Step by step solution

01

Step 1. Given information

The given function is y=x3

02

Step 2. Find the function for vertically stretched by a factor of 4.

If the function y=f(x)is vertically stretched by the factor of k, then the new function will be y=k路f(x)

Therefore, the new function is y=4x3

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Most popular questions from this chapter

In Problems 7鈥�18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

fx=-x3

A circle of radius ris in inscribed in a square. See the figure.

Part (a): Express the area A of the square as a function of the radius rof the circle.

Part (b): Express the perimeter p of the square as a function of the radius rof the circle.

True or False The cube function is odd and is increasing on the interval (-鈭�,鈭�).

In Problems 33鈥� 44, determine algebraically whether each function is even, odd, or neither.

g(x)=x2+3x2-1
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