7. Consider the polynomial function f(z) = 22 3z. (a) Graph f(z) in desmos. Set the window so we can see the function between r = 4 and z = 4. Adjust the y range as needed. (b) Calculate the average rate of change of f(x) between z = 1 and x = 3. Find the equation for the corresponding secant line and add it to your graph. () Calculate the average rate of change of f(x) between z = 1 and z = 2. Find the equation for the corresponding secant line and add it to your graph. (d) Using the techniques from class, calculate a good estimate for the derivative of f(z) at z = 1. Use this to find the equation of the tangent line to f at x = 1 and add it to the graph. (e) Explain how the technique for estimating the derivative at a point connects to the limit definition of the derivative. 8. The figure below is the graph of f', the derivative of a function f. On what interval(s) is the function f (a) Increasing? (b) Concave up