Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 2 - Section 2.4 - Average Rate of Change of a Function - 2.4 Exercises - Page 188: 19

Answer

a) $30h+5h^2$ b) 30+5h

Work Step by Step

a) $f(3)=5\times3^2=45$ $f(3+h)=5\times(3+h)^2=5(9+6h+h^2)=45+30h+5h^2$ $45+30h+5h^2-45= 30h+5h^2$ b) $\frac{30h+5h^2}{3+h-3}=\frac{30h+5h^2}{h}=30+5h$
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