## Intermediate Algebra (12th Edition)

Published by Pearson

# Chapter 7 - Section 7.1 - Radical Expressions and Graphs - 7.1 Exercises - Page 440: 47

#### Answer

Graph of $f(x)=\sqrt{x}-2$

#### Work Step by Step

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

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