Given information
According to the question we are asked to sketch the graph of anti derivative F, which implies that we need to draw the graph of such a function whose derivative function is the given graph. We have been given that F(0) = 0.
Step-by-step explanation
Following few points can be drawn after visualizing the derivative graph given in the question:
1) Point on the derivative graph(let say f(x)) where x-intercept is 0 (y = 0) is the point where slope for its anti derivative is 0(slope of F(x) = 0) because and also that point will form either a maxima or minima for F.
2) Portion of the derivative graph below x-axis is the decreasing part on the anti derivative curve ( ).
Similarly portion of the derivative graph above x-axis is the increasing part on the anti derivative curve.