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

Answer

(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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.