Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - 2.5 Preview of Composite and Inverse Functions - Exercises and Problems for Section 2.5 - Exercises and Problems - Page 103: 53

Answer

(a) $A=f(r)=\pi r^2$ (b) $f(0)=0$ (c) $f(r+1)=\pi(r+1)^2$. (d) $f(r)+1=\pi r^2+1$. (e) Centimeters.

Work Step by Step

(a) $A=f(r)=\pi r^2$ (b) $f(0)=0$ (c) $f(r+1)=\pi(r+1)^2$. This is the area of a circle whose radius is 1 cm more than $r$. (d) $f(r)+1=\pi r^2+1$. This is the area of a circle of radius $r$, plus 1 square centimeter more. (e) Centimeters.
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