Answer
It is a one-to-one function.
Work Step by Step
In a one to one function each x-value corresponds to one y-value and each y-value corresponds to one x-value. We know that the cube of a negative number will be negative and that of a positive number will be positive. This means that for the given function, there exists only one y-value for each x-value and only one x-value for each y-value.
Therefore the function is a one-to-one function.