University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.1 - Functions and Their Graphs - Exercises: 3

Answer

$D:[-2,\infty)$ $R:[0,\infty)$

Work Step by Step

Domain (D) is the set of all possible input values of the function. The function $f(x)=\sqrt {(5x+10)}$ is defined for all $x\geq-2$ Domain of $f(x)=\sqrt {(5x+10)}$: Solution $x\geq-2$ Interval notation:$[-2,\infty)$ Range (R) is the set of all values of the function f(x) as x varies throughout D. x varies through D:$[-2,\infty)$ Range of $f(x)=\sqrt {(5x+10)}$: Solution: $f(x)\geq0$ Interval notation:$[0,\infty)$
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