Match each trigonometric function with one of the graphs. Question 1 1 v f (I) = CSCz 1 v f (z) = cotz 1 v f (1) = secz 7 points How Did I Do? 1 v f (I) = tanz 3 1 2 1 1. -21 X 3 1 2 1 2. -2 1 3 1 -1 2 2 2 X 2 1 3. - 2 1 Question 2: (7 points) Sketch two periods of the graph of the function h (x) = 2 sec ( # (x + 1) ). Identify the stretching factor, period, and asymptotes. Enter the exact answers. Stretching factor = Period: P = Enter the asymptotes of the function on the domain [-P, P]. To enter , type Pi. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x - 1). The order of the list does not matter. Asymptotes: I = Select the correct graph of h (x) = 2sec ( # (x + 1)). (a) X 14 -2 -2 -8 (b) X -4 -2 2 Question 3: (7 points) Sketch two periods of the graph of the function p (x) = tan (x - # ). Identify the stretching factor, period, and asymptotes. Enter the exact answers. For the number 7, either choose a from the bar at the top or type in Pi (with a capital P). Stretching factor = Period: P = Enter the asymptotes of the function on the domain [-P, P]. To enter , type Pi. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x - 1). The order of the list does not matter. Asymptotes: I = Select the correct graph of p (x) = tan (x - 3 )- 8 6 4 2 X (a) 2 n 2 It W 3 NO X (b) O 2 n 2 7 3 -2 -E Question 4: (7 points) A laser rangefinder is locked on a comet approaching Earth. The distance g (I), in kilometers, of the comet after a days, for a in the interval 0 to 30 days, is given by g (x) = 200,000 csc ( z ) a. Select the graph of g (x) on the interval [0, 35]. 1. x 10' ly 8. x 106 6. x 106 - 4. x 106 2. x 106 - (a) -2. x 106- 6 12 24 30 -4. x 106 - -6. x 106 -8. x 106 -1. x 10 1. x 10' 8. x 106 6. x 106- 4. x 106 2. x 106. (b) 0 -2. x 106 - 12 18 24 30 -4. x 106- -6. x 106. -8. x 106 -1. x 107- 1. x 10' 8. x 106 6. x 106. 4. x 106 - 2. x 106 (c) O -2. x 106 6 12 18 24 30 -4. x 106 -6. x 106. -8. x 106- -1. x 107 -1. x 10' 8. x 106 - 6. x 106 4. x 106 2. x 106 - (d) X 6 -2. x 106. 12 18 24 30 -4. x 106 -6. x 106 - -8. x 106 -1. x 107- b. Evaluate g (5). Enter the exact answer. g (5) = C. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond? The minimum distance between the comet and Earth is km which is the It occurs at days. d. Find and discuss the meaning of any vertical asymptotes on the interval [0, 35]- The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x - 1 ). The order of the list does not matter. I = At the vertical asymptotes the comet is