college algebra
posted by zachary .
for the given equation list the intercepts and test for symmetry
y = x^3 512

You know what the graph of x^3 looks like, so this one is just the same curve shifted down by 512 units.
One xintercept at x=8
one yintercept at y=512
no symmetry, since the function is neither even nor odd.
Actually, there is radial symmetry about the point (0,512) but that is not usually the intent.