JEE Main 202622 Jan, Evening shiftMathematicsEasySets, Relations and Functions168× since 2002Let f(x)=[x]2−[x+3]−3f(x)=[x]^2-[x+3]-3f(x)=[x]2−[x+3]−3, x∈Rx\in\mathbb{R}x∈R, where [⋅][\cdot][⋅] is the greatest integer funtion. ThenAOption A. f(x)=0f(x)=0f(x)=0 for finitely many values of xxxBOption B. f(x)<0f(x)<0f(x)<0 only for x∈[−1,3)x\in[-1,3)x∈[−1,3)COption C. f(x)>0f(x)>0f(x)>0 only for x∈[4,∞)x\in[4,\infty)x∈[4,∞)DOption D. ∫02f(x) dx=−6\int_0^2 f(x)\,dx=-6∫02f(x)dx=−6CheckSkip · show solution
