Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.5 Graphing Techniques: Transformations - 2.5 Assess Your Understanding - Page 104: 40


See graph Domain: $(-\infty,\infty)$ Range: $[4,\infty)$

Work Step by Step

We are given the function: $f(x)=x^2+4$ We start with the basic function $a(x)=x^2$. We shift $a(x)$ 4 units up to get $f(x)=x^2+4$. We use 3 points: $(-1,5),(0,4),(1,5)$ The domain of $f$ is: $D=(-\infty,\infty)$ The range of $f$ is: $R=[4,\infty)$
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