Answer
$f(x)=|x|~cos~x=0$ matches with the graph labeled (c).
Work Step by Step
The product of two even functions, $|x|$ and $cos~x$, is an even function, that is, a function whose graph is symmetric with respect to the y-axis:
Also, $f(x)=|x|~cos~x=0$, in the interval $[-\frac{3\pi}{2},\frac{3\pi}{2}]$, when $x=-\frac{3\pi}{2},x=-\frac{\pi}{2},x=0,x=\frac{\pi}{2},x=\frac{3\pi}{2}$. These points are the x-intercepts.
