Find all $x$-intercepts and $y$-intercepts of the graph of the function.
\[
f(x)=2 x^{3}-2 x^{2}-84 x
\]
If there is more than one answer, separate them with commas.
Click on "None" if applicable.

Step 1 ：Set the function equal to zero to find the x-intercepts: \(2x^3 - 2x^2 - 84x = 0\).

Step 2 ：Factor out an x: \(x(2x^2 - 2x - 84) = 0\).

Step 3 ：Set each factor equal to zero and solve for x to find the x-intercepts: \(x = 0\) and \(2x^2 - 2x - 84 = 0\).

Step 4 ：Solving the quadratic equation gives the x-intercepts: \(x = -6, 0, 7\).

Step 5 ：Substitute x = 0 into the function to find the y-intercept: \(f(0) = 2*0^3 - 2*0^2 - 84*0 = 0\).

Step 6 ：So, the y-intercept is \(y = 0\).

Step 7 ：Final Answer: The x-intercepts are \(x = -6, 0, 7\) and the y-intercept is \(y = 0\). So, the final answer is \(\boxed{-6, 0, 7, 0}\).