Let $g(x) = \int_0^x f(t) \, dt$, where $f$ is the function whose graph is shown.
(a) Evaluate $g(0)$, $g(5)$, $g(10)$, $g(15)$, and $g(30)$.
$g(0) = 0$
$g(5) = 50$
$g(10) = 125$
$g(15) = 175$
$g(30) = 275$
(b) On what interval is $g$ increasing? (Enter your answer using interval notation.)
$(0, 15)$
(c) Where does $g$ have a maximum value?
$x = 15$
