of the analysis. (x +3) Part C Complete the following showing your work. 1. Show a numerical method of approximationg the instantaneous rate of change at x = 3 for the function f (x) = -x2 + 4x + / using secants. 2. Show a graphical method of approximationg the instantaneous rate of change at x = 3 for the function f (x) = -x2 + 4x + 1 using secants. 3. What is the average rate of change between x and x + h for the function 2 .Show your simplification. 4. For the function f (x) = x' - ax + 3, calculate where a = 5 and a. h = 2 b. h = 1 G. h = 0.5 d. h = 0.1 Simplify the expression before substituting. 5. Using the graph of the function f(x) = x -x + 1 i. Find approximate x values for any local maximum or local minimum points. ii. Set up a table showing intervals of increase or decrease and the slope of the tangent on those intervals. Il Set up a table of values showing '>" and its corresponding slope of tangent for at least 7 points lv Sketch the graph of the derivative using the table of values from fill)