Step 1 :The function given is \(f(x)=3 x^{3}-5 x^{2}-3 x+2\). We are asked to find the value of \(f(-4)\).
Step 2 :To find this, we substitute \(x=-4\) into the function.
Step 3 :So, \(f(-4)=3(-4)^{3}-5(-4)^{2}-3(-4)+2\).
Step 4 :Simplifying this expression, we find that \(f(-4)=-258\).
Step 5 :Therefore, the final answer is \(\boxed{-258}\).