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. 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 4 2 -2-4 –0.5]; Range [–1, 0] (– , –2] [– 0.5, 2]; Range [0, 3] 3 Page 1 of 11 College Algebra MATH 107 Spring, 2015, V1.9 3. Determine the interval(s) on which the function is increasing. 3. ______ –3.6) and (0, 6.7) –2) and (4, ) 3) 4) -axis only -axis only -axis, not symmetric with respect to the -axis, and not symmetric with respect to the origin 3] 4/3] [3, ) –4/3] Page 2 of 11 Page 3 of 11 College Algebra MATH 107 Spring, 2015, V1.9 7. Write a slope-intercept equation for a line parallel to the line – 2 = 6 which passes through the point (–5, 2). 7. ______ x x x 2 one-to-one. one-to-one. one-to-one. one-to-one. Page 4 of 11 a 2 1 x e x e x e x e Page 5 of 11 11. A candidate’s share of the votes varies directly as the number of votes cast for the candidate. In a city council election with four candidates, Oliver received 497 votes and earned a 35% sh
are of the votes. Reese received 568 votes. What was Reese’s corresponding share of the votes? 11. ______ 12. The graph of = ( ) is shown at the left and the graph of = ( ) is shown at the right. (No formulas are given.) What is the relationship between ( ) and ( )? 12. ______ 2 Page 6 of 11 15. A bowl of soup at 200 F. is placed in a room of constant temperature of 70 F. The temperature of the soup minutes after it is placed in the room is given by ( ) = 70 + 130 Find the temperature of the soup 12 minutes after it is placed in the room. degree.) Answer: ________ continuously. How long (to the nearest tenth of a year) will it take the investment to double in size? Answer: ________ ( ) = 18 87. Page 7 of 11 (a) Which sketch illustrates the end behavior of the polynomial function? Page 8 of 11 College Algebra MATH 107 Spring, 2015, V1.9 21. Let ( ) . Page 9 of 11 SHORT ANSWER, with work required to be shown, as indicated 8 7 2 2 –6) are endpoints of the diameter of a circle. Show work. –2) and (3, 7). Write the equation in slope-intercept form. ( ) = 3 – 5 and ( ) = – 4. )( ) and simplify. ( 1) . 27. Find the exact solutions and simplify as much as possible: . Page 10 of 11 29. The fuel efficiency for a particular car is given by ( ) = –0.018 + 1.548 + 5.8 where is the speed of the car in miles per hour (mph) and ( ) is the corresponding fuel efficiency in miles per gallon (mpg).