91Ó°ÊÓ

Construct the graph for; (i) \(f(x)= \begin{cases}x-1, & x<0 \\ \frac{1}{4} ; & x=0 \\ x^{2} ; & x>0\end{cases}\) (ii) \(f(x)=\left\\{\begin{array}{lr}2 x+3 ; & -3 \leq x<-2 \\ x+1 ; & -2 \leq x<0 \\ x+2 ; & 0 \leq x \leq 1\end{array}\right.\)

Find the number of solutions for; \([[x]-x]=\sin x ;\) where \([\cdot]\) denotes the greatest integer function.