Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 1 - Ingredients of Change: Functions and Limits - 1.1 Activities - Page 9: 8

Answer

a. algebraic b. Input Description: a circle centered at the origin with 6 cm radius Input Units: centimeters Output Description: a point between -6 and 6 on a circle Output Units: point c. function d. x (centimeters) ↓ Rule y ↓ y(x) (point)

Work Step by Step

a. The representation is algebraic because the data is given in an equation. b. The input is a 6cm circle and the output is a certain point on that circle, because if you input a number for the circle you will get an exact point. c. The relation is a function because there is only one output for each input. d. draw an input/output diagram of the data.
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