Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

The graph of an exponential function is given. Match each graph to one of the following functions.

(A) $y = 3^{x}$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given

The graph whose equation need to found out is as:

Step 2. Concept

Since for each of the graph asymptote is given we will find the equation of asymptote and will match with the options available.

Step 3. Calculation

Considering the equations one by one we get:

$(A) y = 3^{x} l i m_{x \to \pm \infty} y = l i m_{x \to \pm \infty} 3^{x} = \infty o r 0 w h i c h i s e q u a l t o y = 0$

$(B) y = 3^{- x} l i m_{x \to \pm \infty} y = l i m_{x \to \pm \infty} 3^{- x} = 0 o r \infty w h i c h i s n o t e q u a l t o y = 0$

$(C) y = - 3^{x} l i m_{x \to \pm \infty} y = l i m_{x \to \pm \infty} - 3^{x} = \infty o r 0 w h i c h i s n o t e q u a l t o y = 0$

localid="1646201596483" $(D) y = - 3^{- x} l i m_{x \to \pm \infty} y = l i m_{x \to \pm \infty} - 3^{- x} = - \infty o r 0 w h i c h i s n o t e q u a l t o y = 0$

$(E) y = 3^{x} - 1 l i m_{x \to \pm \infty} y = l i m_{x \to \pm \infty} 3^{x} - 1 = \infty o r - 1 w h i c h i s n o t e q u a l t o y = 0$

$(F) y = 3^{x - 1} l i m_{x \to \pm \infty} y = l i m_{x \to \pm \infty} 3^{x - 1} = \infty o r 0 w h i c h i s n o t e q u a l t o y = 0$

$(G) y = 3^{1 - x} l i m_{x \to \pm \infty} y = l i m_{x \to \pm \infty} 3^{1 - x} = \infty o r 0 w h i c h i s n o t e q u a l t o y = 0$

$(H) y = 1 - 3^{x} l i m_{x \to \pm \infty} y = l i m_{x \to \pm \infty} 1 - 3^{x} = - \infty o r 1 w h i c h i s n o t e q u a l t o y = 0$

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

The graph of an exponential function is given. Match each graph to one of the following functions.

Step by Step Solution

Step 1. Given

Step 2. Concept

Step 3. Calculation

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

The graph of an exponential function is given. Match each graph to one of the following functions.

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