Please answer the following:

1. [4 marks] On au axis like thc one below, sketch a function f (x) on the interval [4, 4] that satisfies all of the given conditions. (Many solutions are possible.) (a) lim f (x) = 2, lim = O, f(O) = 2 (b) lim f (T,) = 1, lim f(x) 1, and f(3) = 2 2, lim = 2,