In the graph of a power function y=kx^p, what form does the graph take if p is even?

Question

anonymous · Answer

I'm sorry? What comment? Also I thought parabolas where just when the exponent was 2

loser66 · Answer

for even exponents, all are parabolas

e.mccormick · Answer

Some examples https://www.desmos.com/calculator/yyun6m8vhc

anonymous · Answer

This is exactly what I was looking for, thank you e.mc

e.mccormick · Answer

It is basically what L66 said,  A bunch of U shapes, parabolas, etc.  They might be wider or narrower, even upside down, but all have two tails going in the same direction to $\pm \infty$.  As opposed to all odd powers, which have one going to $+\infty$ and one going to $-\infty$.

anonymous · Answer

Yeah I was just confused because I saw no choice like that, I had forgotten that the exponent could also be odd haha