Please solve all parts: A, B, C, & D.

Given the graph of the function f(x) = 4x - x2 shown at right, determine how fast is the graph of y = f(x) changing at x = 1. That is, what is the slope of the tangent line at x = 1? A. Use your calculator to evaluate the average rate of change (slope of the secant line) between the point (1, f(1)) and (1.001, f(1.001). Be sure to show the difference quotient. B. Find the average rate of change between the points (1, f(1)) and ((1 + h), f(1 + h)) C. What happens to the secant lines between the points (1, f(1)) and ((1 + h), f(1 + h)) ash goes to zero? D. Find a general formula for finding the slope of the tangent line at any point by using the points (x, f (x)) and (x + h, f (x + h)) System Preferences