Maybe its just me, but I feel like this question is worded wrong in some way.

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.

the cubed root of x=1-x, from 0 to 1.

I really don't even know where to start. My notes tell me what to do relatively well, but they also tell me that i need a constant in which to solve for. Help please?