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Chapter 5: Q. 40 (page 284)

In Problems 33-40, the graph of an exponential function is given. Match each graph to one of the following functions.

Short Answer

Expert verified

The function is y=31-xand matches to (g)

Step by step solution

01

Given information

Given graph

02

Checking the graph and forming the function   

The graph is a reflection about the y-axis of y=3x. Thus, an equation would be y=3-x

The function y=3-x, being a reflection about the y-axis of y=3x, contains the points (-1,3),(0,1), and (1,13)

The graph contains the points (0,3),(1,1), and 2,13. When compared to the three points mentioned above, these points involve one -unit shift to the right.

Thus, the equation of the graph must be y=3-(x-1)

localid="1646661078860" y=31-x

So it matches to (g)

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Most popular questions from this chapter

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