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If f:R to R, f(x) =x^(3)+1, then f is :...

If `f:R to R, f(x) =x^(3)+1`, then f is :

A

One - one but not onto

B

Onto but not one-one

C

One-one onto

D

Many one

Text Solution

Verified by Experts

The correct Answer is:
C
Given `f:R to R , f(x) =x^(3) +1, "let " x_(1), x_(2) in R`
let `f(x_(1)) =f(x_(2)) rArr x_(1)^(3) +1 =x_(2)^(3) +1 rArr x_(1)=x_(2)`
So, function is one-one
Now, range of f (x) is equal to its co-domain
So, function is onto.
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