MATH 115 Pre-calculus March 2022 MATH 115 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Record your answers and work on the separate answer sheet provided. There are 28 problems. Problems #1 6 are Multiple Choice. Problems #6-17 are Short Answer. (Work not required to be shown) Problems #18-28 are Short Answer with work required to be shown.\fMATH 115 Pre-calculus March 2022 10. A bowl of soup at 1950 F. is placed in a room of constant temperature of 65 F. The temperature 7 of the soup : 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: 1 1. 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 Answer: 14. Solve the trigonometric equation (sin x)(2sin x - 1) = 0 in the interval [0, 360). Answer: 15. (a) Find the exact value of arcsin (sin ) Answer: (b) Find the exact value of arccos (sin" ) Answer: 16. For the parabola given by (y + 5)' = 8(x - 4), find the following: (a) direction parabola opens (to the left, right, up, or down) Answer: (b) vertex Answer: (c) focus Answer: MATH 115 Pre-calculus March 2022 2x-4 17. Let f (x) =- x - 3 (a) State the domain. Answer: (b) State the vertical asymptote(s). Answer: (c) State the horizontal asymptote. Answer: (d) Which of the following represents the graph of f (x) =_ ? x - 3 Answer: GRAPH A. GRAPH B. 10 GRAPH C. GRAPH D