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: 2

Answer

(a) algebraic function. (b) exponential function. (c) algebraic function. (d) polynomial function with degree $4$. (e) root function. (f) algebraic function.

Work Step by Step

(a) This is a polynomial function divided by another polynomial function, so this is an algebraic function. (b) Here, we have a value raised to a variable power, so this is an exponential function. (c) Here, we have a polynomial expression inside a square root. Therefore, this is an algebraic function. (d) This is a polynomial function with degree $4$. (e) Here, we have a cube root of a variable, so this is a root function. (f) This is a polynomial function divided by another polynomial function, so this is an algebraic function.
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