Hello, mer1988!

This takes quite a bit of work (but simple stuff).

I will also assume that iscontinuous.

We'll examine the function over the different intervals.The graph of a derivative is given.

i was given that:

On , we see that: .

Integrate: .

Since is on the graph: .

Hence: on

. . Note that: .

On

Integrate: .

Since is on the graph: .

Hence: [color=blue}on [/color]

. . Note that: .

On

Integrate: .

Since is on the curve: .

Hence: on

. . Note that: .

On

Integrate: .

Since in on the curve: .

Hence: on

We have the piecewise function: .

And you can graph now . . .