. Given a function f(x) = x In x, use Calculus to determine i) critical points, ii) local extrema, iii) inflection points, and iv) intervals where f (x) is concave up or down. . In each case, sketch a graph of a continuous function with the given properties. A. f'(-1) =0 and f'(3) = 0 f'(x) f" ( x ) + 1 -- -1 3 2 B. g'(1) =0 and g'(4) is undefined g'(x) +L 8" ( x ) _-- |+ 4