Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.5 - Graphs of Other Trigonometric Functions - 6.5 Exercises - Page 476: 67


$f(x)=|x|~sin~x$ matches with the graph labeled (b).

Work Step by Step

The product of an even function with an odd function, $|x|$ and $sin~x$, is an odd function, that is, a function whose graph is symmetric with respect to the origin: Also, $f(x)=|x|~sin~x=0$, in the interval $[-\frac{3\pi}{2},\frac{3\pi}{2}]$, when $x=-\pi,x=0,x=\pi$. These points are the x-intercepts.
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