JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

Let

f(x)

be a function given by

f(x)=\frac{x^2+1}{[x]}

for all

x \in[1,4),

where [.] denotes the greatest integer function. Then,

f(x)

is monotonically

View answer and explanation

Correct option: C

Increasing on

[1,2)

Option C (Increasing on

[1,2)

) is correct because the derivative of

f(x)

is positive on this interval, indicating that

f(x)

is increasing.

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