Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Section 1.3 - Linear Functions and Models - Exercises - Page 90: 8

Answer

$f(x)=3x+3$

Work Step by Step

The function is linear, we are told, so $y=f(x)=mx+b$ (m=slope, b=y-intercept) For linear functions, a change of $\Delta x$ units in results in a change of $\Delta y=m\Delta x$ units in $y$ From this table, For every change in x of $\Delta x=1$, the change in y=f(x), $\Delta y=+3$, so $m=\displaystyle \frac{3}{1}=3. $ The table gives us: $f(0)=3 ,$ which gives us $b=3$ Therefore, $f(x)=3x+3$
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