Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.2 - Basics of Functions and Their Graphs - Exercise Set - Page 176: 53

Answer

See the full explanation below.

Work Step by Step

We have to plot the graph of the functions with the help of the points individually for $f\left( x \right)$ and $g\left( x \right)$. The co-ordinates of $f\left( x \right)$ for $x=0,1,4,9$ are as follows: Put $x=0$ $\begin{align} & f\left( x \right)=\sqrt{x} \\ & =0 \end{align}$ Put $x=1$ $\begin{align} & f\left( x \right)=\sqrt{x} \\ & =\sqrt{1} \\ & =1 \end{align}$ Put $x=4$ $\begin{align} & f\left( x \right)=\sqrt{x} \\ & =\sqrt{4} \\ & =2 \end{align}$ Put $x=9$ $\begin{align} & f\left( x \right)=\sqrt{x} \\ & =\sqrt{9} \\ & =3 \end{align}$ The co-ordinates of $g\left( x \right)=\sqrt{x-1}$ for $x=1,2,5,10$ are as follows: Put $x=1$ $\begin{align} & g\left( x \right)=\sqrt{x-1} \\ & =\sqrt{1-1} \\ & =0 \end{align}$ Put $x=2$ $\begin{align} & g\left( x \right)=\sqrt{x-1} \\ & =\sqrt{2-1} \\ & =\sqrt{1} \\ & =1 \end{align}$ Put $x=5$ $\begin{align} & g\left( x \right)=\sqrt{x-1} \\ & =\sqrt{5-1} \\ & =\sqrt{4} \\ & =2 \end{align}$ Put $x=10$ $\begin{align} & g\left( x \right)=\sqrt{x-1} \\ & =\sqrt{10-1} \\ & =\sqrt{9} \\ & =3 \end{align}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.