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Q. 1

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Precalculus Enhanced with Graphing Utilities

Found in: Page 155

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

List the intercepts of the equation $y = x^{2} - 9$ .

The x-intercepts are $(- 3, 0), (3, 0)$ , and the y-intercept is $(0, - 9)$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given equation is:

$y = x^{2} - 9$

Step 2. Determine the intercepts.

Substitute $y = 0$ in the given equation to find the x-intercepts.

$\begin{array}{rcl} 0 & = & x^{2} - 9 \\ 9 & = & x^{2} \\ \pm \sqrt{9} & = & x \\ \pm 3 & = & x \end{array}$

Substitute $x = 0$ in the given equation to find the y-intercept.

$\begin{array}{rcl} y & = & {(0)}^{2} - 9 \\ y & = & - 9 \end{array}$

Step 3. Conclusion.

The x-intercepts are $(- 3, 0), (3, 0)$ and the y-intercept is $(0, - 9)$ .

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