Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.2 - Basics of Functions and Their Graphs - Exercise Set - Page 178: 87

Answer

a. $(-\infty,\infty)$ b. $(-\infty,-2]$ c. none. d. $y=-2$ e. $f(-4)=-5$ and $f(4)=-2$

Work Step by Step

a. the function’s domain is defined by all possible $x$ values, and we can identify the domain as $(-\infty,\infty)$ b. the function’s range is defined by all possible $y$ values, and we can identify the range as $(-\infty,-2]$ c. the x-intercepts can be found at positions where the curve cross the x-axis, and the x-intercept is: none. d. the y-intercept can be found at positions where the curve cross the y-axis; we have the y-intercept as $y=-2$ e. from the graph of the function, we can identify $f(-4)=-5$ and $f(4)=-2$
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