Show that the function f: R → R: f(x) = x4 is many-one and into. – InterviewSolution

InterviewSolution

1.

Show that the function f: R → R: f(x) = x4 is many-one and into.

Answer»

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.

x⁴ ≥ 0 for all values of f(x)

Thus, range [0, ∞) ⊂ R

Here, the function is into function.

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