Determine the roots of the function:
The following function is given.
\[
f(x)=x^{3}-2 x^{2}-9 x+18
\]

Answer

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Answer

Final Answer: The roots of the function are \(\boxed{-3}\), \(\boxed{3}\), and \(\boxed{2}\).

Steps

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 \(\boxed{2}\).