Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises: 51

Answer

The function is f($x$) = $\frac{5}{2}$$x$ - $\frac{11}{2}$

Work Step by Step

The equation of a line connecting two points is $y$ - $y_{1}$ = $m$($x$ - $x_{1}$) and $m$ = $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$. Substituting we get $m$ = $\frac{7 - (-3)}{5 - 1}$ = $\frac{5}{2}$ and $y$ - (-3) = $\frac{5}{2}$($x$ - 1) which is f($x$) = $\frac{5}{2}$$x$ - $\frac{11}{2}$ for 1$\leq$$x$$\leq$5
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