Prove or disprove: every increasing function

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Reference no: EM13689766

A function f : N -> N is said to be computable if there exists a program that takes x as input and produces f(x) as output.
(a) Prove or disprove: every increasing function f : N -> N (i.e. if x >= y, then f(x) >= f(y)) is computable.
(b) Prove or disprove: every decreasing function f : N -> N (i.e. if x >= y, then f(x) <= f(y)) is computable.

Reference no: EM13689766

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