Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - Chapter Test - Page 124: 17

Answer

a. $f(4)=25$ b. $x=-4$ c. Domain:- $(-\infty,\infty)$. Range:- $(-\infty,\infty)$.

Work Step by Step

The given function is $f(x)=7x-3$ a. Substitute $x=4$ into the function. $\Rightarrow f(4)=7(4)-3$ Clear the parentheses. $\Rightarrow f(4)=28-3$ Subtract. $\Rightarrow f(4)=25$. b. Substitute $f(x)=-31$ into the function. $\Rightarrow -31=7x-3$ Add $3$ to both sides. $\Rightarrow -31+3=7x-3+3$ Simplify. $\Rightarrow -28=7x$ Divide both sides by $7$. $\Rightarrow \frac{-28}{7}=\frac{7x}{7}$ Simplify. $\Rightarrow -4=x$. c. This is a linear function. Hence, all real number inputs will result in real number outputs. The domain is $(-\infty,\infty)$. and the range is $(-\infty,\infty)$.
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.