College Algebra MATH 107 Spring, 2020 Page 1 of 11 MATH 107 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 30 problems. Problems #1–12 are Multiple Choice. Problems #13–21 are Short Answer. (Work not required to be shown) Problems #22–30 are Short Answer with work required to be shown. MULTIPLE CHOICE 1. Determine the domain and range of the piecewise function. 1. ______ A. Domain [– 4, 2]; Range [– 2, 4] B. Domain [– 2, 4]; Range [– 2, 1] C. Domain [– 2, 4]; Range [– 4 , 2] D. Domain [0, 2]; Range [– 2, 0] 2. Solve: 3 10x x+ = − 2. ______ A. No solution B. –2, 5 C. 5 D. –2 -2 2 4 -4 -2 -4 2 4 College Algebra MATH 107 Spring, 2020 Page 2 of 11 3. Determine the interval(s) on which the function is decreasing. 3. ______ A. (–1, 3) B. (–2, 4) C. (–3.6, 0) and (6.7, ) D. (–, –2) and (4, ) 4. Determine whether the graph of 2y x= + is symmetric with respect to the origin, the x-axis, or the y-axis. 4. ______ A. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and not symmetric with respect to the origin B. symmetric with respect to the x-axis only C. symmetric with respect to the y-axis only D. symmetric with respect to the origin only 5. Solve, and express the answer in interval notation: | 5 – 6x | 13. 5. ______ A. (–, 3] [−4/3, ) B. (–, −4/3] [3, ) C. [4/3, ) D. [–4/3, 3] College Algebra MATH 107 Spring, 2020 Page 3 of 11 6. Which of the following represents the graph of 8x − 3y = 24 ? 6. ______ A. B. C. D. College Algebra MATH 107 Spring, 2020 Page 4 of 11 7. Write a slope-intercept equation for a line parallel to the line x + 7y = 9 which passes through the point (28, –3). 7. ______ A. 25y x=− + B. 1 1 7 y x= − + C. 1 3 7 y x= − − D. 1 7 7 y x= − 8. Which of the following best describes the graph? 8. ______ A. It is the graph of a function but not one-to-one. B. It is the graph of a function and it is one-to-one. C. It is not the graph of a function. D. It is the graph of an absolute value relation. . College Algebra MATH 107 Spring, 2020 Page 5 of 11 9. Write as an equivalent expression: log (x – 3) – 8 log y + log 1 9. ______ A. log( 3) log(8 ) x y − B. 2 log 8 x y − C. 8 3 log x y − D. ( )log 2 8x y− − 10. Which of the functions corresponds to the graph? 10. ______ A. ( ) 2 xf x e−= B. ( ) 2 xf x e−= + C. ( ) 2 xf x e= − D. ( ) 2xf x e−= College Algebra MATH 107 Spring, 2020 Page 6 of 11 11. Suppose that for a function f, the equation f (x) = 0 has no real-number solution. Which of the following statements MUST be tr.