Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.1 - Radical Expressions and Functions - Exercise Set - Page 511: 26

Answer

$h(5)=3$ $h(3)=1$ $h(0)=2$ $h(-5)=7$.

Work Step by Step

The given function is $h(x)=\sqrt{(x-2)^2}$ Plug $x=5$ into the function. $h(5)=\sqrt{(5-2)^2}$ Simplify. $h(5)=\sqrt{(3)^2}$ $h(5)=\sqrt{3^2}$ $h(5)=3$ Plug $x=3$ into the function. $h(3)=\sqrt{(3-2)^2}$ Simplify. $h(3)=\sqrt{(1)^2}$ $h(3)=\sqrt{1^2}$ $h(3)=1$ Plug $x=0$ into the function. $h(0)=\sqrt{(0-2)^2}$ Simplify. $h(0)=\sqrt{(-2)^2}$ $h(0)=\sqrt{2^2}$ $h(0)=2$ Plug $x=-5$ into the function. $h(-5)=\sqrt{(-5-2)^2}$ Simplify. $h(-5)=\sqrt{(-7)^2}$ $h(-5)=\sqrt{7^2}$ $h(-5)=7$.
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