How would number 1 be drawn and 2 answered

Show all work for full marks in the space provided. 1. Sketch the graph of a function f (x) that satisfy the following properties: [8] f' (x) 0 for x E (-1,3) U (6, co) = -00 x-+3 lim f(x) = 0 x-100 f"(-1) = f'(5) = 0 2. Find the values of a and b if the function f(x) - x + ax + bx-10 and f(x) decreases to x =6 and then increases, and f (1) - -29. [4]