Let as in Figure 13. Determine: (a) The intervals on which A is increasing and decreasing (b)

Question:

Let A(x) = S* f(t) dt, with y = f(x) as in Figure 13. Determine:
(a) The intervals on which A is increasing and decreasing
(b) The values x where A has a local min or max
(c) The inflection points of A
(d) The intervals where A is concave up or concave down