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.
$h (x) = \sqrt{x + 1}$

The graph of the function is given as:

The domain of the function is $[- 1, \infty)$ and the range is $[0, \infty)$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

The given function is $h (x) = \sqrt{x + 1}$

Step 2. Graph the parent function.

The parent function of the given function is $f (x) = \sqrt{x}$

So, the graph of $f (x) = \sqrt{x}$ is given as:

Step 3. Graph the given function

We know that for, $y = f (x + k)$ , the original graph is shifted to the left by $k$ units.

Similarly, for $h (x) = \sqrt{x + 1}$ , the graph $f (x) = \sqrt{x}$ is shifted to the left by 1 units .

The graph of the given function is given as:

Step 4. Find the domain and range

From the graph, we infer that

The domain of the function is $[- 1, \infty)$

The range of the function is localid="1645798371444" $[0, \infty)$ $[0, \infty)$

Step 5. Verify the graph

The graph of the given function using graphing utility is given as:

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

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Precalculus Enhanced with Graphing Utilities

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Short Answer

Step by Step Solution

Step 1. Given information

Step 2. Graph the parent function.

Step 3. Graph the given function

Step 4. Find the domain and range

Step 5. Verify the graph

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

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Step by Step Solution

Step 1. Given information

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Step 3. Graph the given function

Step 4. Find the domain and range

Step 5. Verify the graph

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