Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.
$f (x) = x^{2} + 4$

The graph of the function $f (x) = x^{2} + 4$ is given as:

The domain of the function is $(- \infty, \infty)$ and the range is $[4, \infty)$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. given data

The given function is $f (x) = x^{2} + 4$

Step 2. Graph the parent function.

The parent function of the given function is $g (x) = x^{2}$

Plot the graph of the function $g (x) = x^{2}$

Step 3. Graph of the function

Graph of function $f (x) = x^{2} + 4$ can be obtained by shifting the graph of the function $g (x) = x^{2}$ upward by $4$ units

The graph of the function is given as:

Step 4. domain and range of the function

From the graph, we infer that

The domain of the function is $(- \infty, \infty)$

The range of the function is $[4, \infty)$

Step 5. Verification

plot the graph of the function $f (x) = x^{2} + 4$ using a graphing utility

The graph is the same as we have drawn. Hence, it is correct.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Step by Step Solution

Step 1. given data

Step 2. Graph the parent function.

Step 3. Graph of the function

Step 4. domain and range of the function

Step 5. Verification

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Step by Step Solution

Step 1. given data

Step 2. Graph the parent function.

Step 3. Graph of the function

Step 4. domain and range of the function

Step 5. Verification

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