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Chapter 2: Q. 101 (page 116)

Vertical Stretches Open the vertical stretch applet. Use your mouse to grab the slider and change the value of a. Note the role aplays in the graph of g(x)=af(x), where

f(x)=|x|.

Short Answer

Expert verified

The graph is

Step by step solution

01

Given information

Given the functionf(x)=|x|

02

Checking for different values of a

The equations are as follows;

f(x)=|x|g(x)=af(x)g(x)=a|x|

03

Sketching the graph 

The graph is

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Most popular questions from this chapter

True or FalseThe cube root function is odd and is decreasing on the interval (-∞,∞).

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.

f(x)=x+23-3

A wire 10meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle.

Part (a): Express the total area Aenclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle.

Part (b): What is the domain of A?

Part (c): Graph A=Ax. For what value of xis Asmallest?

Write the point–slope form of the line with slope 5 containing the point (3, -2).

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.

g(x)=-x3
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