Question

Which graph represents an odd function?

Answer 1

An odd function is one for which f(-x)=-f(x) for all x. It is also called "symmetric about the origin", and visually, the graph is symmetric about the line y=x.

For which graph is that true?

Answer 2

The second one?

Answer 3

Oh, wait never mind! I think it's the first one, because it actually has symmetry.

Answer 4

Honestly, I think it might be this one.

Answer 5

But it's not the first, because that's an even function.

Answer 6

That's correct - the 2nd one is odd, because f(-x)=-f(x) (you can check with a few points on the graph).

The first one is even: f(-x)=f(x) (it is a "mirror image" around the y-axis)