please answer #2 (a) - (j) asap?

2." True or false? (write out "true" or "false" - do not write "T" or "F") (a) If X is compact and nonempty, and f : X - R is continuous, then f has a maximum value. (b) If X is complete and f : X - Y is a continuous surjectivehen Y is complete. (c) If f : X - Y is continuous and U C X is open, then f(U) is open. (d) If f : (a, b) - R is differentiable and f' is bounded then f is uniformly continuous. (e) If A1 2 A2 2 ... is a decreasing sequence of nonempty closed subsets of a complete metric space, then ne A, # 3. (f) The set {(x, y) E R2 : [(x, y)||