JEE Main 2020 — Functions Question with Solution
From: JEE Main 2020 (Online) 8th January Evening Slot
Question
Let ƒ : (1, 3) R be a function defined by
, where [x] denotes the greatest integer x. Then the range of ƒ is
, where [x] denotes the greatest integer x. Then the range of ƒ is
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
f(x) = \left\{ {\matrix{
{{x \over {{x^2} + 1}},} & {1 < x < 2} \cr
{{{2x} \over {{x^2} + 1}},} & {2 \le x < 3} \cr
} } \right.
f(x) is decreasing function
Range is .
f(x) is decreasing function
Range is .
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