Step 1 :Given the function \(f(x)=x^{3}-2 x^{2}-9 x+18\).
Step 2 :We need to find the roots of the function, which are the values of x for which \(f(x) = 0\).
Step 3 :To find these roots, we solve the equation \(x^3 - 2x^2 - 9x + 18 = 0\).
Step 4 :The roots of the function are -3, 3, and 2.
Step 5 :Final Answer: The roots of the function are \(\boxed{-3}\), \(\boxed{3}\), and \(\boxed{2}\).