[MOVED] 'I am a sinusoidal function with a period of ...'

[blueazulim06]

I have the following word problem:

I am a sinusoidal function with a peroid of 2pi. I have zeros at every integral multiple of pi, and my range is [1,-1]. I am an odd function.

Ok, I know that it is a sine function and has asymtotes at 1 and -1 but what I don't understand is how do you tell if it is a odd or even function?

 

[stapel]

Re: [MOVED] 'I am a sinusoidal function with a period of ...

I know that it is a sine function and has asymtotes at...

The sine function does not have asymptotes.

what I don't understand is how do you tell if it is a odd or even function?

You could use the algebraic method you learned back in algebra: If f(-x) = f(x), the function is even; if f(-x) = -f(x), the function is odd.

Or you could use the more graphical method which would likely have been covered in both algebra and trig: If the graph is symmetric about the y-axis, the function is even; if it's symmetric about the origin, it's odd.

Eliz.