## Algebra and Trigonometry 10th Edition

$f(x)=x~sin~x$ matches with the graph labeled (a).
The product of two odd functions, $x$ and $sin~x$, is an even function, that is, a function whose graph is symmetric with respect to the y-axis. 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.