1. The function stt)9r30r20 gives the position of an object moving vertically along a line. Complete the table below, then write a few sentences explaining what this table illustrates. Time interval [4,4.01] [4,4.001] 4,4+h Average velocity 2. Draw a graph for a function fx) that has the following properties (You should have one graph of a function that has all of these properties.) 2) is undefined elimx)-5 · limx) does not exist elimx) 5 elim x)1 3. Use the graph of the function g(x) below to find the following: lim g(x) lim glx) lim glx) lim gx) lim gx) lim gx) lim g(x) lim g(r) lim g(r) 8(-5) g(4) 7-6-5 -4 -3 -2 -1

The graphs of four functions f, g, h, and i are shown below. 3 2 4. -1 +1 -4 Read carefully: The functions below must be written in terms of f, 9, h, or i as indicated. If your answer only includes the letter x without one of the functions indicated, it will not be answering the question correctly. Although you may realize that f(x) = x“, use the general name f for this function and not the x. The point of this question is to understand how transformations work on general functions, not just on specific functions. This kind of remark is typically not included in questions as the question does explicitly tell you how to write your answer. The remark is added here to help you learn as it addresses a common mistake on the midterm. a. Write g(x) in terms of transformations of f. Then g(x) = Preview b. Write f(x) in terms of transformations of g. Then f(x) Preview c. Write h(x) in terms of transformations of f. Then h(x) Preview d. Write i(x)in terms of vertical transformations of f that…