y = -x^(1/3)

What type of function is this? Simplified it is y = i*cube root(x)

I'm trying to find the symmetry using the formula x = -b/2a.

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- Sep 13th 2009, 07:54 AMmwokWhat type of function is this?
y = -x^(1/3)

What type of function is this? Simplified it is y = i*cube root(x)

I'm trying to find the symmetry using the formula x = -b/2a. - Sep 13th 2009, 08:11 AMskeeter
- Sep 13th 2009, 08:19 AMmwok
But how did you find the symmetry and odd/even?

I know that an even/odd power corresponds to a even/odd function, however...the power in this case is a fraction. Without graphing, how can I determined this?

BTW, what graphing tool did you use to generate that graph?

Thanks. - Sep 13th 2009, 08:26 AMskeeter
is odd if

is the opposite of , therefore is odd.

free graph program ...

Graph - Sep 13th 2009, 08:30 AMPlato
- Sep 13th 2009, 08:35 AMmwok
Thanks, how do you find the symmetry? I cannot use x = -b/2a because that is for polynomials and the function above is not a polynomial.

- Sep 13th 2009, 08:54 AMPlato
- Sep 13th 2009, 10:36 AMmwok
So, the answer is simply that the symmetry is about the origin?

- Sep 13th 2009, 10:40 AMPlato