Question

What are the intercepts for the graph of the equation `y = x^3 - 27`?

Answer 1

`x=3" and "y=-27`

Explanation:

`"to find the intercepts"`

`• " let x = 0, in the equation for y-intercept"`

`• " let y = 0, in the equation for x-intercept"`

`x=0toy=0-27=-27larrcolor(red)" y-intercept"`

`y=0tox^3-27=0`

`rArrx^3=27rArrx=3larrcolor(red)" x-intercept"`
graph{x^3-27 [-80, 80, -40, 40]}