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Show that the function f: R → R: f(x) = 1 + x2 is many-one into.

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We know that for every negative and positive value of x we get the same value of f(x) which is not one-one that is many one

1 + x2 ≥ 1 for all values of x

Thus, range [1, ∞) ⊂ R

Here, the function is into function.

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