Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.4 - A Library of Parent Functions - 2.4 Exercises - Page 203: 13


a) $f(x)=\dfrac{2}{3}x-2$ b) See graph

Work Step by Step

We are given the linear function: $f\left(\dfrac{1}{2}\right)=-\dfrac{5}{3}$ $f(6)=2$ a) Determine the slope of the line using the points $\left(\dfrac{1}{2},-\dfrac{5}{3}\right),(6,2)$: $m=\dfrac{2-\left(-\dfrac{5}{3}\right)}{6-\dfrac{1}{2}}=\dfrac{\dfrac{11}{3}}{\dfrac{11}{2}}=\dfrac{2}{3}$ Determine the line's equation using the slope and one of the points: $y-2=\dfrac{2}{3}(x-6)$ $y=\dfrac{2}{3}x-4+2$ $f(x)=\dfrac{2}{3}x-2$ b) Graph the function using the two points:
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