Calculus: Early Transcendentals 8th Edition

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

Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises: 8

Answer

All of the functions from this family satisfy $f(-3)=1.$ The graphs are on the figure below.
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Work Step by Step

These functions have in common that $f(-3)=1$, i.e. they all pass through the point $(-3,1)$ no matter what $m$ is. We can show it: $$f(-3)=1+m(-3+3)=1+m\cdot0=1.$$ The graphs for $m=-1$(blue), $m=0$(orange) and $m=1$(green) are on the figure below.
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