Consider the function $f(x)=2 x^{3}-5 x$ on the interval $[-3,3]$. Find the average or mean slope of the function on this interval.

Step 1 ：Consider the function \(f(x)=2 x^{3}-5 x\) on the interval \([-3,3]\). We are asked to find the average or mean slope of the function on this interval.

Step 2 ：The average slope of a function on an interval \([a, b]\) is given by the formula: \[\frac{f(b) - f(a)}{b - a}\]

Step 3 ：In this case, the function is \(f(x) = 2x^3 - 5x\), and the interval is \([-3, 3]\). So we need to calculate: \[\frac{f(3) - f(-3)}{3 - (-3)}\]

Step 4 ：Substitute \(a = -3\) and \(b = 3\) into the formula, we get the average slope is 13.0

Step 5 ：Final Answer: The average slope of the function \(f(x) = 2x^3 - 5x\) on the interval \([-3, 3]\) is \(\boxed{13}\)