PROBLEM 3 (P7) Let n be a positive odd integer and let f: R - R be given by f (x) = x". Find all points where f is increasing or decreasing, where f is concave up or concave down, the critical points of f, the inflection points of f, and where f has local extrema. PROBLEM 4 (P7) Let n be a positive even integer and let f: R - R be given by f(x) = x". Find all points where f is increasing or decreasing, where f is concave up or concave down, the critical points of f, the inflection points of f, and where f has local extrema. PROBLEM 5 (P7) Let a, b, and c be real numbers with a * 0 and let f: R -> R be given by f(x) = ax' + bx + c. Find all points where f is increasing or decreasing, where f is concave up or concave down, the critical points of f, the inflection points of f, and where f has local extrema