Answer
$$-\frac{1}{5}x^{-3}$$
Work Step by Step
We see that a possible power function for this equation is:
$$-\frac{1}{5}x^{-3}$$
Here, we see that the fraction once again gets larger as the input increases, so the exponent must be negative.
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 11 - Polynomial and Rational Functions - 11.1 Power Functions and Proportionality - Exercises and Problems for Section 11.1 - Exercises and Problems - Page 439: 14
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