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Which one of the following functions f:R...

Which one of the following functions `f:RtoR` is injective?

A

`f(x)=|x|" for all "x""inR`

B

`f(x)=x^(2)" for all "x""inR`

C

`f(x)=11" for all "x""inR`

D

`f(x)=-x" for all "x""inR`

Text Solution

Verified by Experts

The correct Answer is:
D
A injective function means one-one.
Consider f(x)=-x
Let `f(x)=f(y)AAx,yinR`
`implies-x=-yimpliesx=y`
For every values of x, we get a different values of f. Hence, it is injective.
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