Asked by Anon

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!
Answered by Steve
1. what's the definition of even/odd function?
Answered by 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.
Answered by Steve
well, you have

3x = |y|
x = |y|/3

f(-y) = |-y|/3 = |y|/3 so even
Answered by 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!
Answered by Anon
Wait.. does it matter if it's f(x) or f(y)?
Answered by 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.
Answered by Anon
Got it. Thanks lol
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