Posted by Anon on .
Show work to determine if the relation is even, odd, or neither.
1. 3x=y (y=abs. value of y)
Simplify the following complex fractions.
2. [(3/x)(4/y)]/[(4/x)(3/y)]
PLEASE HELP!

AP Calculus 
Steve,
1. what's the definition of even/odd function?

AP Calculus 
Anon,
If f(x) = f(x), the function is even.
If f(x) = f(x), the function is odd.
If neither is true, the answer is neither. 
AP Calculus 
Steve,
well, you have
3x = y
x = y/3
f(y) = y/3 = y/3 so even 
AP Calculus 
Anon,
okay thank youu so much. This is a summer review packet before calculus and I don't remember how to do any of this!

AP Calculus 
Anon,
Wait.. does it matter if it's f(x) or f(y)?

AP Calculus 
Steve,
sure it does. y is not even a function of x, since there are two values of y for each positive value of x.
x can be defined as a function of y, as I did above. In this case, the relation can be shown to be even. 
AP Calculus 
Anon,
Got it. Thanks lol