1. Sketch the graph of the following functions, show all of their important features and fully justi (i) f(x) = 273 +3x2 - 11x -6 (ii) g(x) = or2 - - 2 1:2 - 1 2. Sketch the graph of a twice differentiable function y = f(x) with the following properties. Derivatives 0 2 1 y' =0, y">0 2 0, y">0 4 4 1'>0, y" =0 40, y"