In Problems 1-2, sketch the graph of a continuous function f on [0, 6] that satisfies all the stated conditions.
1. F(0) = 1; f(6) = 3; increasing and concave down on (0, 6)
2. F(0) = 8; f(6) = - 2; decreasing on (0, 6); inflection point at the ordered pair (2, 3), concave up on (2, 6)