f : Z → N, f(t) = t2 + 1, t ∈ Z. Determine the type of function f – InterviewSolution

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f : Z → N, f(t) = t2 + 1, t ∈ Z. Determine the type of function f.

Answer»

f: Z → N.

∴ Z = {…-3,-2, -1, 0, 1, 2, 3,…} and N = {1, 2, 3, 4, …}

f(t) = t² + 1, t ∈ Z

∴ f(- 3) = 9 + 1 = 10, f(3) = 9 + 1 = 10, f(- 2) = 4 + 1 = 5 f(2) = 4 + 1 = 5

Here, for two different elements of domain A, their images are same in co-domain. Therefore, function is many-one function.

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