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 1.2 The Graph of a Function - 1.2 Assess Your Understanding - Page 62: 13

Answer

function (a) domain $\{x|-\pi\le x\le \pi \}$ and range $\{y|-1\le y\le1\}$. (b) $(0,1),(\pm\frac{\pi}{2},0)$. (c) y-axis.

Work Step by Step

The graph is a function based on the vertical line test. (a) We can find its domain $\{x|-\pi\le x\le \pi \}$ and range $\{y|-1\le y\le1\}$. (b) The intercept(s) can be found as $(0,1),(\pm\frac{\pi}{2},0)$. (c) We can see that there is symmetry with respect to the y-axis.
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