JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Understanding +4 | -1

If R denotes the set of all real numbers, then the function

f:R \to R

defined by

f\left( x \right) = \left| x \right|

View answer and explanation

Correct option: D

Neither one-one nor onto

Option D is correct because the absolute value function is neither one-to-one (since f(x) = f(-x)) nor onto (since the range is [0, ∞)).

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

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f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

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f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}