Question

Let `g(x)=sqrt(x-2k),AA2klt=x<2(k+1),` where `k in ` integer. Check whether `g(x)` is periodic or not.

Answer 1

`g(x)=sqrt(x-2k), AA 2k le x lt 2 (k+1),` where `k in Z`.
`={(...,),(...,),(sqrt(x+2)",",-2 le x lt0),(sqrt(x)",",0 le x lt2),(sqrt(x-2)",",2le x lt4),(sqrt(x-4),4le x lt 6),(...,),(...,):}`
Graph of the function is as shown in the figure.