Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.2 Mathematical Models: A Catalog of Essential Functions - 1.2 Exercises - Page 34: 9

Answer

They all have the same gradient of -1 in common (i.e. they are all parallel)

Work Step by Step

Pretty self-explanatory, using the graph or the equation. The equation has a coefficient of -1, therefore they all have the same gradient, or the lines from the graph are all parallel and therefore have the same gradient. The only difference is the constant term which just shifts the graph up or down.
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