JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

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

, where [ ] denote the greatest integer function and

x \in[0, n], n \in N

then the number of elements in the range of

f(x)

are

View answer and explanation

Correct option: D

2 n-1

Option D (2n-1) is correct because the range of the function f(x) consists of integers from 0 to 2n-2, resulting in 2n-1 elements.

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