quick (and easy) algebra question...

[Cuda1447]

What is an analytical symmetry test? Its really simple, and really easy Im sure. The problem is I didn't buy a book and can't seem to find it very easily on google. Im sure its real simple, just need to know for my test tomorrow morning. Anyone?

 

[DrPizza]

I'm guessing as to what you mean...
You mean symmetry with respect to the y-axis or symmetry with respect to the origin?

If that's the case, then take the original function, plug in (-x) for x. If you get the exact same function, then it's symmetrical with respect to the y-axis. (an "even funtion")

If upon reducing the function, you end up with - (f(x)) Then, it's an odd function, and symmetrical with respect to the origin.

 

[Cuda1447]

got it, and thx!