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Let I be the set of integer and f : I ra...

Let I be the set of integer and f : I `rarr` I be defined as f(x) = `x^(2), x in I`, the function is

A

bijection

B

injection

C

surjection

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
`f(x) = x^(2), x in Z`
f(1) = 1
f(-1) = 1
`therefore` f is not one-one
Range of f is set of whole number.
Which is a subset of Z.
`therefore` f is not onto.
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