Consider the function f : ([0, 1] , T) - ([0, 1] , d) such that f (x) = 1 where ([0, 1] , d) is the closed unit interval endowed with the Euclidean metric and T is some topology on the closed unit interval [0, 1]. Specify for the following topologies 7 whether f is a continuous mapping or not. (a) T = {0, [0, 1]} (the trivial topology); (b) 7 = 210,1] (the discrete topology); (c) T is the Euclidean unit interval