Please answer all the questions

KY 1. Show a numerical method of approximationg the instantaneous rate of change at x = 3 for the function f (x) = -x + 4x + 1 using secants. Show two numerical approximations. 2. Show a graphical method of approximationg the instantaneous rate of change at x = 3 for the function f(x) = -x + 4x + 1 using secants. Show two graphical approximations. 3. What is the average rate of change between x and x + h for the function f(x) = 2x +4 Show your simplification. Y 4. For the function f(x) = x3 - 8x + 3, calculate /(ath) =(@) where a = 5 and a. h = 2 b. h =1 c. 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. iii. Set up a table of values showing "x" and its corresponding "slope of tangent" for at least 7 points in's iv. Sketch the graph of the derivative using the table of values from (iii)