JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Understanding +4 | -1

f\;:R \to R

is defined by

f\left( x \right) = 2x - 2\left[ x \right]

for all

x \in R,

where

\left[ x \right]

denotes the greatest integer less than or equal to

x

, then range of

f

, is

View answer and explanation

Correct option: B

\left\{ {0,\;1} \right\}

Option B (\{0, 1\}) is correct because the range of the function

f(x) = 2x - 2[x]

is \{0, 1\}.

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

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

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f(x)=x^4

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

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