Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Exploration Graph $y = x^{2}, y = x^{4}$ , and $y = x^{6}$ on the same screen. What do you notice is the same about each graph? What do you notice that is different?

The graph of the functions is given as

All three functions are even functions and pass through the same three points $(- 1, 1), (0, 0), (1, 1)$ .

For $- 1 < x < 1$ , the graph of $y = x^{2}$ lies above the other two graphs.

And for the region $x < - 1, x > 1$ , the graph of $y = x^{6}$ lies above the other two.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Graph the functions

The graph of the functions $y = x^{2}, y = x^{4}$ , and $y = x^{6}$ on the same coordinate plane is given as

Step 2. Comparision

From the graph, it can be seen that all three graphs have the same general shape.

All three functions are even.

All three functions pass through the points $(- 1, 1), (0, 0),$ and $(1, 1)$ .

For the region $- 1 < x < 1$ , the graph of $y = x^{2}$ is above the other two.

And for the region $x < - 1, x > 1$ , the graph of $y = x^{6}$ lies above the other two.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Exploration Graph $y = x^{2}, y = x^{4}$ , and $y = x^{6}$ on the same screen. What do you notice is the same about each graph? What do you notice that is different?

Step by Step Solution

Step 1. Graph the functions

Step 2. Comparision

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Precalculus Enhanced with Graphing Utilities

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Step by Step Solution

Step 1. Graph the functions

Step 2. Comparision

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Exploration Graph $y = x^{2}, y = x^{4}$ , and $y = x^{6}$ on the same screen. What do you notice is the same about each graph? What do you notice that is different?