Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 3 - Polynomial and Rational Functions - Section 3.1 Polynomial Functions and Models - 3.1 Assess Your Understanding - Page 208: 19


$\text{Not a polynomial function because it has a term with a negative exponent/power.}$

Work Step by Step

$\text{A polynomial function is a function of the form}$ $$f(x)=a_n x^n +a_{n-1} x^{n-1}+...+a_1 x+ a_0$$ Where the coefficients $(a_n, a_{n-1}.....)$ are real numbers and $n$ is a non-negative integer $f \text{ can be rewritten as: }$ $$f(x)=1-x^{-1}$$ Since the term $x^{-1}$ has a negative power, the function isn't a polynomial.
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