Forum for the GRE subject test in mathematics.
- Posts: 41
- Joined: Thu Mar 25, 2010 12:14 am
How many continuous real-valued dunctions f are there with domain [-1,1] such that (f(x))^2 = x^2 for each x in [-1,1] ?
I thought of f = x, -x, |x|
any other ?
could it be |-x| ?
- Posts: 27
- Joined: Tue Apr 06, 2010 8:22 am
almost - just wth minus outside of the abs
f = - |x|. that will do.