Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 2 - Review - Exercises - Page 232: 55

Answer

Net Change: $ 9$ Average Rate of change: $ 3$

Work Step by Step

From the equation $f(x) = x^2 - 2x$, we are looking from the net change and average rate of change from x=1 to x=4 At x=1, $f(x) = 1^2 - 2(1) = -1$ At x=4, $f(x) = 4^2 - 2(4) = 8$ Net Change: $f(4) - f(1) = 8 - (-1) = 9$ Average Rate of change: $\frac{f(4)- f(1)}{4-1} = \frac{9}{3} = 3$
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