Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

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

The function is $y = 3^{1 - x}$ and matches to (g)

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

Given graph

Step 2: Checking the graph and forming the function

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

The function $y = 3^{- x}$ , being a reflection about the $y$ -axis of $y = 3^{x}$ , contains the points $(- 1, 3), (0, 1)$ , and $(1, \frac{1}{3})$

The graph contains the points $(0, 3), (1, 1)$ , and $(2, \frac{1}{3})$ . 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" $y = 3^{1 - x}$

So it matches to (g)

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

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

Step by Step Solution

Step 1: Given information

Step 2: Checking the graph and forming the function

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

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

Step by Step Solution

Step 1: Given information

Step 2: Checking the graph and forming the function

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