Please do A-D and show work please!

Question 7 (10 points) Given f (ac) = (a - 2)2 (a - 4) 2, determine a. interval where f (a ) is increasing or decreasing, b. local minima and maxima of f (ac) c. intervals where f (a ) is concave up and concave down, and d. the inflection points of f(a ). Sketch the curve, and then use a calculator to compare your answer. If you cannot determine the exact answer analytically, use a calculator