i have a homework problem from pre calculus and i dont understand how to solve it

Are they asking you to graph it?

I'm reading the problem as g(x) = x

^{3 }- 1.Since it's Pre-Calc, I'm guessing they probably want you to graph it.

The parent function is f(x) = x

^{3 }.So 3 pts on f(x) are: (-1, -1), (0, 0), and (1, 1). Since the -1 will result in a downward shift of 1 unit,

the points on the graph of g(x) = x

^{3}- 1 would be (-1, -2), (0, -1), and (1, 0).You can graph it from there. It's concave down on the left side of the y axis and concave up on the right side of the y axis.

Hope this helps.

Jason