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 #7-17 are Short Answer. (Work not required to be shown) Problems #18-28 are Short Answer with work required to be shown. 1. Solve 1 8 - 5x 1 2 12 and write interval notation for the solution set. [-4. 4] B. 1-3.90 C. (-00, 4 ] U [-;,00) D. (-00, -; ] U [4, 00) . Which of the following polynomials has a graph which exhibits the end behavior of downward to the left and upward to the right? f (x) =4x + 2x- B. f (x)=5x-x -x - C f (x) = -9x + 3.x + . D f ( x) =-8x +8x -x+3 3. Express in equivalent form: 3 log 3 + log x - log (3.x) A. Log (27x) log (3x) B. log (9) C. log (9.x) D. log (9- 2x) MATH 115 Pre-calculus March 2022 4. Determine the interval(s) on which the function is increasing. . (-oo, -1/3) and (3, 4.75) (-oo, 1) and (4, 09) C. (- 1/3, 3) and (4.75, co) D. (- 1.25, 3.25) 5. Which of the functions corresponds to the graph? 5 . _ A. f(x)=ex-1 B. f (x) =2-er C. f (x) =1-ex D. f(x) =-e* MATH 115 Pre-calculus March 2022 6. Which of the functions corresponds to the graph? 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: log2 ) 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:MULTIPLE CHOICE. Record your answer choices. 1. 2. 3. 4. 5. 6. SHORT ANSWER. Record your answers below. 7. (a) (b) (c) 8. 9