4. Let g(x) = 4x3+ 6x2 - 72x + 5 (15 points) a. Find the intervals on which g is increasing or decreasing. Make sure to specify which intervals are increasing and which are decreasing. b. Find the local maximum and minimum values of g and where they occur. Make sure to specify which values are maximums and which values are minimums. c. Find the intervals of concavity. Make sure to specify on which intervals the function is concave up and on which the function is concave down. d. Find the inflection points. e. Sketch a graph of g