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 177: 82

Answer

a. $(-6,0]$ b. $[-3,4)$ c. $x=-4$ d. $y=-3$ e. $f(-4)=0$

Work Step by Step

a. the function’s domain is defined by all possible $x$ values, and we can identify the domain as $(-6,0]$ b. the function’s range is defined by all possible $y$ values, and we can identify the range as $[-3,4)$ c. the x-intercepts can be found at positions where the curve cross the x-axis, and the x-intercept is $x=-4$ d. the y-intercept can be found at positions where the curve cross the y-axis; we have the y-intercept as $y=-3$ e. from the graph of the function, we can identify $f(-4)=0$
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