JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Understanding +4 | -1

Let

A = \left\{ {x \in R:x \ne 0, - 4 \le x \le 4} \right\}\;and\;f:A \in R

be defined by

f\left( x \right) = \frac{{\left| x \right|}}{x}\;for\,x \in A.

. Then, the range of

f

View answer and explanation

Correct option: A

\left\{ {1, - 1} \right\}

Option A (

\{1, - 1\}

) is correct because the function simplifies to either 1 or -1 depending on the sign of x, given the absolute value in the numerator.

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

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f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

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

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

f: R \rightarrow R

f(x)=x^4

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

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