Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 2 - Section 2.5 - Linear Functions and Models - 2.5 Exercises - Page 195: 9

Answer

No, the function is not linear.

Work Step by Step

Given function: f(x) = x(4-x). 1. Distribute the x: f(x) = 4x - $x^{2}$ 2. This function cannot be expressed in terms of y=ax +b and hence, is not linear. Instead it will change at an exponential rate.
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