Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.1 Four Ways to Represent a Function - 1.1 Exercises - Page 21: 51


$y=\frac{5}{2}x-\frac{11}{2}$ for $1 \leq x \leq 5$.

Work Step by Step

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{7-(-3)}{5-1}=\frac{10}{4}$ $y-y_{1}=m(x-x_{1})$ $y-(-3)=\frac{10}{4}(x-1)$ $y+3=\frac{10}{4}x-\frac{10}{4}$ $y=\frac{10}{4}x-\frac{22}{4}$ $y=\frac{5}{2}x-\frac{11}{2}$ Since this is only over the range of $(1,-3)$ to $(5,7)$ this applies only to the domain of $1 \leq x \leq 5$.
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