Question

Use interval notation to indicate where f(x) is differentiable. If it is differentiable on more than one interval, use U for union.

The graph f(x) is at the link below:
http://www.flickr.com/photos/57417292@N0…

Answer 1

Your link doesn't work

Answer 2

The link is supposed to be : http://www.flickr.com/photos/57417292 @N03/6212898678/in/photostream

Answer 3

not differentialble where it is
a) discontinuous, at -1,0 , 1
b) where there is a "corner" at 3
c) at the endpoints of the domain at -2, 4

Answer 4

ok so the function is differentiable when it's continuous and the gradient doesn't instantly change. so looking at this, {-2<x<-1},{1<x<0},{0<x<1},{1<x<3},{3<x<4}