If f:R R, then f(x) = ;|x| is - Vidyadip

MCQ

If $f:R \to R$, then $f(x) = \;|x|$ is

A
One-one but not onto
B
Onto but not one-one
C
One-one and onto
✓
None of these

✓

Answer

Correct option: D.

None of these

d
(d) $f( - 1) = f(1) = 1$;

$\therefore $function is many-one function.

Obviously, $f$ is not onto so $ f$ is neither one-one nor onto.

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