## Algebra and Trigonometry 10th Edition

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