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 - Page 11: 2


$D:[0,\infty)$ $R:(-\infty,1]$

Work Step by Step

Domain (D) is the set of all possible input values of the function. The function $f(x)=1-\sqrt x$ is defined for all non-negative values of x. Domain of $f(x)=1-\sqrt x$ : Solution: $ x\geq0$ Interval notation:$[0,\infty)$ Range (R) is the set of all values of the function f(x) as x varies throughout D. x varies through D:$[0,\infty)$ Range of $f(x)=1-\sqrt x$ : Solution: $f(x)\leq1$ Interval notation:$(-\infty,1]$
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