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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

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

h(x)=-x33x2-9

A wire of length xis bent into the shape of a circle.

Part (a): Express the circumference Cof the circle as a function of x.

Part (b): Express the areaAof the circle as a function ofx.

Determine whether each relation represents a function. For each function, state the domain and range.

4,-1,2,1,4,2

Solve the inequality: 3-2x>5. Graph the solution set.

An equilateral triangle is inscribed in a circle

of radius r. See the figure. Express the circumference Cof the circle as a function of the length x of a side of the triangle.

[Hint: First show that r2=x23.]
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