Answer fully

4. The function f(r) has been plotted in the left graph below. (a) 14 point In the graph on the right, sketch the antiderivative F(x) of the function f(r) which satisfies F(0) = 0. Your graph does not need to be perfectly accurate. (b) (3 points) In the box below, list the local maximum(s) and local minimum(s) of the antideriva- tive F(r), including the boundary points. No justification is required. The local maximum(s) of F(r) are The local minimum(s) of F(r) are (c) (3 points) In the box below, list the inflection points of the antiderivative F(r). No justification is required. The inflection points of F(r) are