1. For the function f(x) = x , find the average rate of change (slope of secants) over each of the following intervals: a. x = 2 to x = 3 b. x = 2 to x = 2.5 c. X = 2 to x = 2.1 d. x = 2 to x = 2.01 e. x = 2 to x = 2.001 2. Using that data that you collected in question 1, what do you think the slope of the tangent to f(x) = x3 at the point (2, 8) would be? Explain you answer. 3. Using an online graphing/software (Desmos/Geogebra/Excel), graph the equation f (x) = x and show the tangent at the point (2, 8). Insert this graph (both the function and the tangent line) in your assignment. (ie. show this graph)