SOLUTION: Given f(x) below, graph over the domain [-3, 3], what is the range? f(x)= {∣x∣,x≥0 {1,1≤x<0 {x-2,x<-1

Algebra ->  Coordinate-system -> SOLUTION: Given f(x) below, graph over the domain [-3, 3], what is the range? f(x)= {∣x∣,x≥0 {1,1≤x<0 {x-2,x<-1      Log On


   



Question 1144494: Given f(x) below, graph over the domain [-3, 3], what is the range?
f(x)=
{∣x∣,x≥0
{1,1≤x<0
{x-2,x<-1

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


For the second part of the function you surely mean -1≤x<0, not 1≤x<0...

f%28x%29+=+abs%28x%29 on [0,3] --> range [0,3]

f%28x%29+=+1 on [-1,0) --> range [1,1]

f%28x%29+=+x-2 on [-3,-1) --> range [-5,-3)

Overall range: [0,3] union [1,1] union [-5,-3) = [-5,3) union [0,3]