(Piecewise Functions) Determine the x-intercept(s) for the piecewise function.
\begin{equation*}
f(x) = \begin{cases} 2x+8 & \text{if } x \le -2\\ x+5 & \text{if } x > -2 \end{cases}
\end{equation*}
The x-intercept(s) is/are:
(A) (-5, 0) only
(B) (-4, 0) only
(C) (-5, 0) and (-4, 0) only
(D) (5, 0) and (8, 0) only
(E) There are no x-intercepts