Let
f(x) = \begin{cases}
0 & \text{if } x < -5 \\
5 & \text{if } -5 \leq x < -1 \\
-3 & \text{if } -1 \leq x < 5 \\
0 & \text{if } x \geq 5 \end{cases}
and g(x) = \int_{-5}^{x}\, f(t) dt

Determine the value of each of the following:

(a)g(-7) =

(b)g(-4) =

(c)g(0) =

(d)g(6) =

(e) The absolute maximum ofg(x) occurs when x = and is the value

Determine the value of each of the following:

(a)

(b)

(c)

(d)

(e) The absolute maximum of

It may be helpful to make a graph of

You can earn partial credit on this problem.