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.
1. what's the definition of even/odd function?
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.
well, you have
3x = |y|
x = |y|/3
f(-y) = |-y|/3 = |y|/3 so even
okay thank youu so much. This is a summer review packet before calculus and I don't remember how to do any of this!
Wait.. does it matter if it's f(x) or f(y)?
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.
Got it. Thanks lol