Question

постройте график функции y=|x-1|-|x+1|

Answer 1

$y=|x-1|-|x+1|, \ x-1=0, x=1, \ x+1=0, x=-1, \ y=left { begin{array}{c} -(x-1)-(-(x+1)), x<-1,\ -(x-1)-(x+1),-1 leq x<1,\(x-1)-(x+1), x geq 1;end{array} right. \ y=left { begin{array}{c} 2, x<-1,\ -2x,-1 leq x<1,\-2, x geq 1;end{array} right.$