GR9768 Q 50

Forum for the GRE subject test in mathematics.
mathQ
Posts: 41
Joined: Thu Mar 25, 2010 12:14 am

GR9768 Q 50

Postby mathQ » Tue Apr 06, 2010 12:45 pm

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] ?

A) 1
B) 2
C) 3
4) 4
E) inf.

I thought of f = x, -x, |x|

any other ?

could it be |-x| ?

EugeneKudashev
Posts: 27
Joined: Tue Apr 06, 2010 8:22 am

Re: GR9768 Q 50

Postby EugeneKudashev » Tue Apr 06, 2010 12:46 pm

almost - just wth minus outside of the abs :) f = - |x|. that will do.




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