Let $g(x)=\int_{0}^{\,x} {f(t)}\,dt,$ where $f$ is the function whose graph is shown below.

(a) Evaluate $g(x)$ for $x = 0, 1, 2, 3, 4, 5,$ and $6$.

$g(0) =$

$g(1) =$

$g(2) =$

$g(3) =$

$g(4) =$

$g(5) =$

$g(6) =$

(b) Estimate $g(7).$

$g(7) \approx$

(c) At what value of $x$ does $g$ attain its maximum?

$x =$

(d) At what value of $x$ does $g$ attain its minimum?

$x =$

Graph of $f$: