2. (12 marks) Use the algorithm for curve sketching to sketch the graph of each function. 3- x a. f(x) = d. s(1 ) = 1+ - 2x + 5 b. h(t) = 27 - 1512 + 361 - 10 e. g(x) = 2x2 + 5x + 2 x +3 20 12 + 41 - 21 C. V= f. s(1) = ,12-7 x2 + 4 1- 3 3. (5 marks) Determine the constants a, b, c, and d so that the curve defined by y = ax' + bx- + ex + d has a local maximum at the point (2, 4) and a point of inflection at the origin. Sketch the curve