How do you find the domain and range of piecewise function #y={sqrt(-x)# for #-4<=x<=0# and #sqrtx# for #0<=x<=4#?

1 Answer
Apr 20, 2015

The domain is allready defined by the question #-4<=x<=+4#

The range is what values the function can go to:
If #x=-4->y=sqrt(-(-4))=sqrt4=2#
And for positive #x#'s it's the same limit.

Actually the description looks like an absolute function:

#y=sqrt(|x|)# for the range #-4<=x<=+4#
graph{sqrt(|x| [-5.546, 5.55, -2.773, 2.774]}