Question

Which statement describes the function y = axn when a = 1 and n is even?
(I know it's not the first or the second, but I don't know how to determine which of the other two options is the answer.)

The graph opens down.
The graph is symmetric about the x axis.
The graph passes through (–1, 1), (0, 0), and (1, 1).
The graph has more than one x intercept.

Answer 1

Just make n an easy even number like 2.
Now plug in -1, 0 and 1 for x and see what you get for y.

Answer 2

Could you tell me if I did this right?

Answer 3

If you're asking if that's the graph of y = 1 x^2....The top parabola is the graph of that function...not the stuff below the x-axis.

Answer 4

I'm sorry. I forgot to explain the graph.
I plugged in all 3 equations:
y=1x^2 is the parabola above the x axis.
y=-1x^2 is the parabola below the x axis.
y=0^2 didn't show up because when solved it cancels itself out.

Answer 5

y = 0^2 should be just a straight flat line drawn right on top of the x-axis. That's probably why you can't see it. It is essentially the x-axis

Answer 6

Oh yeah that would make sense.
What do I do next?

Answer 7

@BangkokGarrett