Question

Question #1dcbc

Answer 1

Because it is a `root 3` which is uneven, `x` may have any value.

With even roots, the domain is limited to positive values under the root. `root 2 -4` is not defined, as there is no number that will square to `-4` (except the imaginary numbers, but that is a whole different chapter)

But not here. `root 3 -8=-2` as `(-2)^3=8`

So the domain `x in(-oo -> +oo`)

With `x` going all over the place, so can `y`

So the range `y in(-oo -> +oo)`
graph{0.25*root 3 x [-1.519, 1.519, -0.758, 0.761]}