Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises: 4

Answer

a)G b)f c)F d)g

Work Step by Step

a) $y=3x$ is a linear function so it must be G, the only straight line among the graphs. b) $y=3^{x}$ is an exponential function so it must be f, the only graph which approaches a horizontal asymptote as $x\rightarrow-\infty$ and becomes extremely steep when $x\rightarrow\infty$. c) $y=x^{3}$ is a cubic (power) function so it must be F. d) $y=\sqrt[3] x$ is a cubic (root) function so it must be g.
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