1. Sketch the graph of the following function, show all of its important features and fully justify: (i) 5:r2 + +9 2 (ii) g(:r) 2. Sketch the graph of a function which satisfies all of the following conditions: lim lim = oc; lim f(x) = O; f ' > O for x > 2; and f < for x < O and O < < 2;