I have a question from the 2018 CSSA Trials!

Answer is C.

I'm not too sure if this is the proper way to go about the question, but this is how I would end up with the answer C:

Since f(-x) = -f(x), this means that f(x) has

**odd symmetry**. On the other hand, if f(x)=f(-x), the graph would have even symmetry.

I would recommend doing a rough sketch if you're still unsure, but basically, since (3,7) is a

**maximum **turning point, there will be a

**minimum **turning point at (

**-**3,

**-**7), which is symmetrical to the maximum but negative. (If the condition was even symmetry, there would be a maximum turning point again at (-3,7) )

Hopefully this makes some sort of sense... If not, let me know and I'll demonstrate with a diagram