c. Find all intercepts [1 mark] d. Find critical points [1 mark] e. Find any local extrema. [ 2 marks] f. Find points of inflection [3 marks] g. Sketch [3 marks] Label: - Intercepts mptotes - Critical points - Points of inflection5. Find the dimensions of the least expensive rectangular box that is three times as long as it is wide and which holds 100 cubic centimeters of water. The material for the bottom costs 79 per cm2, the sides cost 5 per cm2 and the top costs 2 per cm2. [5 marks] 6. Forthe function U : 3. Find the domain. [1 mark] b. Find the vertical and horizontal asymptotes. Examine vertical asymptotes on either side of discontinuity [3 marks]