Answer :

To show: f: R R : f(x) = x4 is many - one into.


Proof:


f(x) = x4


y = x4



Since the lines cut the curve in 2 equal valued points of y, therefore, the function f(x) is many ones.


The range of f(x) = [0,∞)≠R(Codomain)


f(x) is not onto


f(x) is into


Hence, showed that f: R R : f(x) = x4 is many - one into.


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