Answer
$12$
Work Step by Step
1. Given $f(x)=x^3-5x^2+27$, we have $f(-3)=(-3)^3-5(-3)^2+27=-45$ and $f(2)=(2)^3-5(2)^2+27=15$
2. The average rate of change is $\frac{f(2)-f(-3)}{2+3}=\frac{15+45}{5}=12$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 8 - Polar Coordinates; Vectors - Section 8.5 The Dot Product - 8.5 Assess Your Understanding - Page 637: 47
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