Sketch the graph of a function f (x) that satisfy the following properties: f' (x) 0 for x E (-1,3) U (6, 00) lim f (x) = -00 X-3+ lim f(x) = 0 x-too 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