1. Which of the following function(s) is/are periodic? (I) (II) y 2 11 x 3 4 T (III) y (IV) x 10 15 20 mm 4 6 x (a) I and II only (b) III and IV only (c) II and III only (d) ALL

5) Chapter 3.3 Find the second derivative of f and discuss the concavity of its graph. a. f (x) = -2z² b. f (2) = -2a

Consider the following functions. Rw) - st) - (a) Find (e g)(x). Find the domain of feg. OR- (0, 4) R- (0, 3} *- () OR- (b) Find (gn) Find the domain of g f OR- (9-- (, 4) , 3)

5. Sketch the graph of one function f(x) that has all of the following properties: a.) f(-2) 0 b.) f(0) 0 and f'(0) = 0 c.) f(2) >0 and f'(2) >0 ↑f(x) 1 2 6. Sketch the graph of one function f(x) that has all of the following properties: a.) f(x) > 0 for all values of x b.) f'(x) < 0 for all values of x ↑f(x) -3 -2 3 4 -1 2

Set senx (244) dt

6

Plot the graphs of f(x) = x(x - 3) (x + 3) and g(x) = cos 2 x together on the same set of axes and over the interval [-20, 20]. Use the PlotRange option to adjust the range of the viewing window so that their points of intersection are visible.