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Chapter 2: Q. 96 (page 116)

The area under the curve y=xbounded below by the x-axis and on the right by x=4is 163square units. Using the ideas presented in this section, what do you think is the area under the curve of y=-xbounded below by the x-axis and on the left by x=-4 ? Justify your answer.

Short Answer

Expert verified

The area is same for both the functions

Step by step solution

01

Given information

Given the equationy=x,y=-x

02

Checking the areas

The graph is

03

Checking the area

The graph of y=-xis

The graphs are reflection of each other so the area is same for both the functions

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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
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