Given that L17] is the floor function (sometimes called the greatest integer function): 11111 2:17 +2J = $>5.5+ l C] The following table represents the height h (feet), at time t (seconds), of an object thrown straight up from ground level. From topics developed in class, (a) The average velocity on the interval [(1, b] is the slope of the :] line from (a, f(o)) to (b, f(b)). Note: The answer here is a word not a number. (b) The instantaneous velocity at a: = c is the slope of the :] line at (c, f(c)) Note: The answer here is a word not a number. (c) Fill in the following table for the average velocity over the given interval. Enter your answers rounded to 2 decimal places. interval | average velocity (d) Use the values above to make a guess for the instantaneous velocity of the object at time t = 3 is C] (feet/second) Draw the graph of a function y = f(x) that has the following criteria and then answer the questions below: . f(2) = 3 lim f(x) = 3 . lim f(z) = 4 x -+ 2+ f (3 + h) - f(3) . lim = 2 h -+0 h Questions to answer: 1. Evaluate: lim f(x) x- 2 Explain your answer. 2. Explain what the fourth graph criteria: lim f (3 + h) - f(3) = 2 h -0 h tells you and explain how you incorporated that into your graph