Hi again I'm tackling a question that is very likely to be on a future exam, and I'm a bit stuck.

The question:

g(x){ 0 if x<2

2 if 2<x<4

-1 if x>4

Sketch the graph of a continuous function f(x) knowing that f(0)=1, and f'(x) = g(x)

Graphing g(x) is not a problem, but understanding how to formulate a seperate function with just the info given is a major roadblock.

Any suggestions would be helpful.