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Domain

The real func...

Question

The real function f : $[0, \infty) \to$ R is defined by $f (x) = x^{2}$ , then f is

A

one-one

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B

onto

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C

one-one, onto

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D

neither one-one nor onto

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Solution

The correct option is A
one-one

$f (x) = x^{2}, f^{'} (x) = 2 x \geq 0 \forall x ϵ [0, \infty]$

$\Rightarrow f is one-one$

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