6. For the function y = f(x) = 7x 3 2 + 10x + 117 find: a. For what x values f(x) increases/decreases b. For what x values (if any) f(x) has local minimum/maximum c. For what x values f(x) graph is concave up/down d. For what x values (if any) f(x) have inflection points e. Based on the information obtained above, sketch the function y = f(x) 7. A farmer has 100 meters of fencing with which he wants to enclose a rectangular space for his goats. a. Find the dimensions of this rectangular space which would enclose the maximal area for the goats. b. What is the maximum area in this case