Let $f(x)=\left\{\begin{array}{cc}{[x],} & -2 \leq x \leq-\frac{1}{2} \ 2 x^2-1, & -\frac{1}{2}

Question

Let $f(x)=\left\{\begin{array}{cc}{[x],} & -2 \leq x \leq-\frac{1}{2} \ 2 x^2-1, & -\frac{1}{2}<x \leq 2\end{array}ight.$ and $g(x)=f(|x|)+|f(x)|$, where [ ] represents greatest integer function.

Professor PC Thomas Classes · Answer

See detailed solution for explanation.