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: 9

Answer

All of the functions from the family are parallel to each other with the slope of $-1$. On the figure are the members of this family for $c=-2$(blue), $c=0$(orange) and $c=1$(green)
1510334607

Work Step by Step

The general equation of linear function is $$f(x)=kx+c$$ where $k$ is the slope. Any given function from this family can be rewritten as $$f(x)=-x+c$$ We see that all of these functions are parallel to each other with the slope of $-1$. On the figure are the members of this family for $c=-2$(blue), $c=0$(orange) and $c=1$(green)
Small 1510334607
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.