Let f(x) be a function given by f(x)= x^ 2 +1 [x] for all x ∈ [1, 4), where [.] denotes…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
Let f(x) be a function given by
\(f(x)=\frac{x^{2}+1}{[x]}\) for all x ∈ [1, 4),
where [.] denotes the greatest integer function. Then, f(x) is monotonically
- increasing on [1, 4)
- decreasing on [1, 4)
- increasing on [1, 2)
- decreasing on [2, 3)
Answer
(D) decreasing on [2, 3)
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