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 1 - Functions and Their Graphs - Section 1.3 Properties of Functions - 1.3 Assess Your Understanding - Page 75: 38

Answer

Neither even nor odd.

Work Step by Step

Recall: a) A function is said to be odd, when every number $x$ in its domain, the number $-x$ is also in the domain such that $f(-x)=-f(x)$ b) A function is said to be even, when every number $x$ in its domain, the number $-x$ is also in the domain such that $f(-x)=f(x)$ It can be noticed that the given function $f(x)=\sqrt x$ has a domain of $(0, \infty)$. Note that for a positve real number $x$, the function is not defined for $-x$. Therefore, the function $f(x)$ is neither even nor odd.
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