For the following functions, determine if they are injective, surjective, bijective, or none and explain the...

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Advance Math

For the following functions, determine if they are injective,surjective, bijective, or none and explain the reason. Recall thatR: is the set of real numbers, Z: the set of Integers, and N: theset of natural numbers.

a. f: R ? Z, where f(x) = ceiling(x)

b. f: Z ? Z defined by f(x) = ?5? + 1

c. f: Z ? N defined by f(x) = |x + 1|

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