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 22: 55


$f(x)=-x+3\ (0 \leq x \leq 3)$ $f(x)=2x-6\ (3 \lt x \leq 5)$

Work Step by Step

From 0 to 3 on the x-axis, the line has a slope of -1 and a y-intercept of 3, so we have: $y=-x+3$ From 3 to 5 on the x-axis, the line has a slope of 2 and a y-intercept of -6 (if we extend the line down), so we have: $y=2x-6$ Thus the function f(x) consists of: $f(x)=-x+3\ (0 \leq x \leq 3)$ $f(x)=2x-6\ (3 \lt x \leq 5)$
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