2. For each of the following functions f A R, find f(A) and hence decide...

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2. For each of the following functions f A → R, find f(A) and hence decide whether f (equivalently its range) has an upper bound, a lower bound, a maximum or a minimum. (a) f(x) = x³, A = (−3, 2). (b) f(x) = x², A = (−3, 2) (c) f(x) = X 0 if x E Q if x # Q A = [0, a] where a > 0. 2. For each of the following functions f A → R, find f(A) and hence decide whether f (equivalently its range) has an upper bound, a lower bound, a maximum or a minimum. (a) f(x) = x³, A = (−3, 2). (b) f(x) = x², A = (−3, 2) (c) f(x) = X 0 if x E Q if x # Q A = [0, a] where a > 0.