A function f: R → R is called even if f(-x) = f(x) for all x ER, and a function f: R → R is called odd if f(-x) = -f(x). Let Ue denote the set of real-valued even functions on R, and let U, denote the set of real-valued odd functions on R. a) Show that Ue is a subspace of M(R, R). b) Show that U is a subspace of M(R, R). c) Show that M (R, R) = U₂ consider the two functions Uo. Hint given any given function f you may want to f(x) + f(-x) f(x)-f(-x) and

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