Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.2 - Polynomial Functions and Their Graphs - 3.2 Exercises - Page 267: 73

Answer

See graph and explanation.

Work Step by Step

The multiplication of the function results in vertically stretching or shrinking. Using $c=1$ as a reference.,$c=2$ is a vertical stretch by a factor of 2, $c=5$ is a vertical stretch by a factor of 5, and $c=1/2$ is a vertical shrink by a factor of 1/2. Hence, the larger $|c|$ is, the more narrow and tall the graph becomes.
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