Thread: I don't understand this problem

Okay, I don't understand this problem mainly because my professor has not gone over this and i haven't done any precalculus for a year, so I am stuck. So if some one could explain this to me, I would deeply appreciate it.

Here is the problem:
If the point (-5,5) is on the graph of f(x) and f(x) is known to be an odd function, what other point must be on the graph of f(x)?

Originally Posted by lsnyder

Okay, I don't understand this problem mainly because my professor has not gone over this and i haven't done any precalculus for a year, so I am stuck. So if some one could explain this to me, I would deeply appreciate it.

Here is the problem:
If the point (-5,5) is on the graph of f(x) and f(x) is known to be an odd function, what other point must be on the graph of f(x)?

If f(x) is odd, then f(x) = -f(x) (that is the definition of an odd function).

So if f(-5) = 5

Then f(-5) = - 5

So the point (-5,-5) must also be on the graph.

thank you so much.

even though when i typed it in on my homework, it was wrong.
it was actually (5,-5).

but it made more sense to me as soon as you explained it.
thank you again.

Originally Posted by lsnyder

thank you so much.

even though when i typed it in on my homework, it was wrong.
it was actually (5,-5).

but it made more sense to me as soon as you explained it.
thank you again.

Ah yes, sorry. That's a typo on my part.