Let \(f\left(x\right)={[x]}^{2}−\left[x+3\right]−3,\text{ }x\in R,\) where [.] is the greatest integer function. Then [J…

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

\(f(x)<0\) only for \(x\in [−1,\text{  }3)\)

\(f\left(x\right)=0\) only for \(x\in [4,\text{  }∞)\)

\({\int }_{0}^{2}f(x)dx=−6\)