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The function f(x) = x^3 is bijection from R to R. Is it True or False?

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The function f(x) = x^3 is bijection from R to R. Is it True or False?

(a) True

(b) False

The question was posed to me in final exam.

Question is from Functions topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

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Best answer
Correct option is (a) True

The explanation: The function f(x) = x^3 is one to one as no two values in domain are assigned the same value of the function and it is onto as all R of the co domain is images of elements in the domain.

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