Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises - Page 33: 1

Answer

(a) polynomial function with degree $3$. (b) trigonometric function. (c) power function. (d) exponential function. (e) algebraic function. (f) logarithmic function.

Work Step by Step

(a) This is a polynomial with degree $3$, which means it is also an algebraic function. (b) Here, we have a combination of cosine and sine functions. Therefore, it is a trigonometric function. (c) Here, we have t to the power of $\sqrt{3}$, which means it is a power function. (d) Here, we have a value raised to a variable power, so this is an exponential function. (e) This is an algebraic combination of a root and polynomial function. Therefore, it is an algebraic function. (f) This is a logarithmic function with base $10$.
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