Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.1 - Radical Expressions and Graphs - 7.1 Exercises - Page 440: 48

Answer

Graph of $ f(x)=\sqrt{x}+4 $

Work Step by Step

Substituting values of $x$ in the given function, $ f(x)=\sqrt{x}+4 $, results to \begin{array}{l|r} \text{If }x=0: & \text{If }x=1 \\\\ f(x)=y=\sqrt{x}+4 & f(x)=y=\sqrt{x}+4 \\ y=\sqrt{0}+4 & y=\sqrt{1}+4 \\ y=0+4 & y=1+4 \\ y=4 & y=5 \end{array} \begin{array}{l|r} \text{If }x=4: & \text{If }x=9 \\\\ f(x)=y=\sqrt{x}+4 & f(x)=y=\sqrt{x}+4 \\ y=\sqrt{4}+4 & y=\sqrt{9}+4 \\ y=2+4 & y=3+4 \\ y=6 & y=7 .\end{array} Connecting the points $ \left(0,4\right), \left(1,5\right), \left(4,6\right), \text{ and } \left(9,7\right) $ with a curve gives the graph of $ f(x)=\sqrt{x}+4 $.
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