#### Answer

one-to-one

#### Work Step by Step

$f(x)=x^{3}$ is a one-to-one function, and its inverse is $g(x)=\sqrt[3]{x},$(which is also one-to-one)
The graph of g(x) (red) is obtained by
reflecting f(x) (blue) about the line y=x.
The graph of $y=-\sqrt[3]{x+2}-8$ is obtained from g(x) by
- shifting it left by $2$ units,
- reflecting about the x axis (green) , and
- shifting down by 8 units (black graph).
This graph passes the Horizontal Line Test, so the function is one-to-one.