The fundamental period of $\frac{\left|\sin x\right|+\left|\cos x\right|}{\left|\sin x-\cos x\right|+\left|\sin x+\cos x\right|}$ is-

Let $f\left(x\right)=\left\{\begin{array}{ll}4,& x<-1\\ -4x& -1\le x\le 0\end{array}\right.$

If $f\left(x\right)$ is an even function in $R$ then the definition of $f\left(x\right)$ in $\left(0,\infty \right)$ is-

The graph of $\varphi \left(x\right)$ is given then the number of positive solution of $\left|\left|\varphi \left(x\right)\right|-1\right|=1$ are-