Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Begin with the graph of $y = e^{x}$ and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.
$f (x) = e^{x + 2}$

The graph of the function is given below,

Domain: All real numbers.

Range: $\{y | y > 0\} o r (0, \infty)$

Horizontal asymptote: $y = 0$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

Consider the given function,

$f (x) = e^{x + 2}$

First, plot the graph of $y = e^{x}$ . Then add $2$ and shift up by $2 u n i t s$ ,

Step 2. Determine the characteristics of the function.

Consider the given function,

$f (x) = e^{x + 2}$

From the graph, the domain of the function is all real numbers.

The range is $\{y | y > 0\}$ or in the interval $(0, \infty)$ .

Horizontal asymptote is $y = 0$ .

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Begin with the graph of $y = e^{x}$ and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.
$f (x) = e^{x + 2}$

Step by Step Solution

Step 1. Given information.

Step 2. Determine the characteristics of the function.

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Step by Step Solution

Step 1. Given information.

Step 2. Determine the characteristics of the function.

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Begin with the graph of $y = e^{x}$ and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.
$f (x) = e^{x + 2}$