Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.2 Mathematical Models: A Catalog of Essential Functions - 1.2 Exercises - Page 33: 4


(a) y = 3x is the green one. (b) y = $3^{x}$ is the blue one. (c) y = $x^{3}$ is the pink one. (d) y = $\sqrt[3] x$ is the black one.

Work Step by Step

y = 3x is a linear function. It must be a straight line. y = $3^{x}$ is an exponential function where the base 3 $\gt$ 1. y = $x^{3}$ is a power function. It's also odd, so it's positive if x $\gt$ 0 and negative if x $\lt$ 0. y = $\sqrt[3] x$ is a root function.
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