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Q 68.

Expert-verified

Precalculus Enhanced with Graphing Utilities

Found in: Page 655

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Graph each function.
$f (x) = - \sqrt{4 - 4 x^{2}}$

The graph of the function is half an ellipse.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 . Given information

We have given function $f (x) = - \sqrt{4 - 4 x^{2}}$ .

The equation of the ellipse is $(f {(x))}^{2} = 4 - 4 x^{2} \frac{x^{2}}{1} + \frac{(f {(x))}^{2}}{4} = 1$

Step 2. Graph of the function.

The center of the ellipse lies at origin and the major axis is y-axis.

The vertices are $(0, 2)$ and $(0, - 2)$ .

The x-intercept are at $(1, 0)$ and $(- 1, 0)$ .

The graph of the function is given as:

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Graph each function.
$f (x) = - \sqrt{4 - 4 x^{2}}$

Step by Step Solution

Step 1 . Given information

Step 2. Graph of the function.

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Graph each function. f(x)=-4-4x2

Step by Step Solution

Step 1 . Given information

Step 2. Graph of the function.

Most popular questions for Math Textbooks

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Graph each function.
$f (x) = - \sqrt{4 - 4 x^{2}}$