Let f(x)=[x]²−[x+3]−3, x∈R... | Functions

JEE MAIN 2026

22-01-2026 S2

Question

Let $f(x)=[x]^2-[x+3]-3, x \in \mathbf{R}$, where $[\cdot]$ is the greatest integer function. Then Options

Select the correct option:

$f(x)>0$ only for $x \in[4, \infty)$

$\int_0^2 f(x) \mathrm{d} x=-6$

$f(x)<0$ only for $x \in[-1,3)$

$f(x)=0$ for finitely many values of $x$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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