College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Chapter 2 Review - Exercises: 64

Answer

$f(x)=-\frac{1}{4}x+6$

Work Step by Step

A linear function has the form $f(x)=ax+b$, with $a=$slope and $b=$y-intercept. We calculate the slope from $x=0$ to $x=2$ using the table: $\frac{f(2)-f(0)}{2-0}=\frac{5.5-6}{2}=-\frac{0.5}{2}=-\frac{1}{4}$ We can find the $y$-intercept by looking at the $y$ value at $x=0$: $f(0)=6$ Therefore, the equation is: $f(x)=-\frac{1}{4}x+6$.
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