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Textbook ExpertVerified Tutor
29 Oct 2021

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

Step 1.

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.

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