If f(x) is odd and f(-3)=5, what is f(3)?

If f(x) is an odd function and f(-3)=5, what is f(3)?

Please show me how you do this type of problem if you can. :)

2012-11-16T00:05:21Z

Um well this is literally the problem on my homework. The function f(x) is an *odd function* Hopefully that makes more sense.

miCKeY_t2012-11-16T00:26:38Z

Favorite Answer

If f(x) is an odd function, and when the input is negative and comes out positive, then I think that what it is getting at is that when the input is positive, the output will be negative.
Odd functions, when graphed, have ends going in generally opposite directions/quadrants (unlike a parabola). If this is truly the COMPLETE homework question, it may have to be assumed that the answer is -5, also assuming that the function is very basic without any strange transformations.

?2012-11-16T08:49:35Z

'ƒ(x) is odd' means,
ƒ(x)=-ƒ(-x)

!!!... how is your ƒ(x) related to ƒ(-3)?...

If i assume The question means,
If ƒ(-3) =5 is odd,find ƒ(3).
Then,
ƒ(-3) =5
ƒ(-3) = -ƒ(3)
ƒ(3) = -ƒ(-3)
ƒ(3)= -5

So,ƒ(3) would be -5

frank2012-11-16T08:02:18Z

I don't think you have enough information here. What is f(x) ??