In: Math
Suppose f ' (x) = x2 - 8x + 15 = (x - 3) (x - 5)
(a) Identify the intervals of x-values on which f is increasing and the intervals on which f is decreasing.
(b) Locate where the local maximum point and the local minimum point occur.
(c) Identify the intervals of x-values on which f is concave up and the intervals on which f is concave down.
(d) Locate any points of inflection.