6. Which of the functions corresponds to the graph? 6. 5- 3- 5 x -1 -2 -3 A. f (x) = 2 cos x + 1 B. f(x) = 2 sin x + 1 C. f (x) = sin(2x) + 1 D. f (x) = 2 - cos x SHORT ANSWER: 7. Points (-3, 1) and (-7, 5) are endpoints of the diameter of a circle. (a) What is the exact length of the diameter? (Simplify as much as possible) Answer: (b) What is the center of the circle? Answer: (c) What is the equation of the circle? Answer: 8. Find the value of the logarithm: logz (). Answer: 9. A salesperson earns a base salary of $1,800 per month and a commission of 5.5% on the amount of sales made. If the salesperson has a paycheck of $3,851.50 for one month, what was the amount of sales for the month? Answer: Sept 2021 10. A bowl of soup at 195 F. is placed in a room of constant temperature of 65 F. The temperature T of the soup t minutes after it is placed in the room is given by T(t) = 65 + 130 e -0.075 t Find the temperature of the soup 20 minutes after it is placed in the room. (Round to the nearest degree.) Answer: 11. Given the function f (x) = 8 - 5 x, find a formula for the inverse function. Answer: 12. (a) State the reference angle associated with 150. Answer: (b) Convert 150 to radians. Leave the answer in terms of it. Answer: 13. Given y = 5 sin(6x - It), state the (a) period Answer: (b) phase shift