Step 1 :First, plug in the x-value of the point into the function to find the corresponding y-value: \(f(2) = 2^3 + 2(2^2) - 2 + 2 = 8 + 8 - 2 + 2 = 16\)
Step 2 :Next, compare this y-value to the y-value of the point. If they are the same, then the point is on the graph. Here, \(14 ≠ 16\), so the point \((2,14)\) is not on the graph of the function.