University of Maryland University College MATH 107 - 6382 (Oimoen) Quiz 3 30 January 2017 Directions: - Read and sign the academic honesty certification statement below, then read the questions carefully and answer them to the best of your ability. You may write your answers on this sheet or on the sheet you do your work on, but PLEASE show your work! Also, define all your variables (when required), identify any formulas you are using and be sure to include a complete final answer that answers the question. Include the proper units when necessary. Follow directions as outlined in Quizzes under the \"Table of Contents\" link on our classroom Content link. If you have ANY questions, please contact me directly via email and/or phone to discuss. - Test & work is due as specified in \"Course Schedule\". You must uploaded your Quiz 3 NLT February 5, 2017, 11:59 pm. Please upload as one file, preferably as a PDF. I cannot accept any late submissions! Good luck! I certify the work submitted on and with this document represents my own personal work. I have not collaborated with, or consulted with, anyone else to produce the work I am submitting. I certify I have not used any instructor solutions manuals, or any online problem solving services. I understand and agree to abide by UMUC Policy on Academic Dishonesty and Plagiarism. _______________________________________ Student Signature & Date 1 University of Maryland University College MATH 107 - 6382 (Oimoen) Quiz 3 30 January 2017 1. (20 pts) Test the given equations algebraically to determine whether the functions are even, odd, or neither even nor odd. Show your work. a. () = 23 + 2 3 1 b. () = + c. () = || d. () = 2 + 1 2 University of Maryland University College MATH 107 - 6382 (Oimoen) Quiz 3 30 January 2017 2. (15 pts) The following points are on the graph of: = (): (-5, 0), (-2, 2), (0, 0), (2, -4), and (4, 0) Use Theorem 1.7 (show your work) to identify the corresponding points on the following transformed functions: a. = 2( 3) 2 b. = 2( + 1) + 1 c. = 1( 3) + 2 3 University of Maryland University College MATH 107 - 6382 (Oimoen) Quiz 3 30 January 2017 3. (5 pts) A graph of y = f (x) is given below. There is NO formula for f. Using the graph of y = f (x), which graph (A, B, C, or D) represents the graph of y = f (x-2) + 1? Identify the graph by letter and include a brief explanation of your selection. Graph Choice: ______ Explanation: y= f(x) 5 3 1 -5 -3 -1 -1 1 3 5 -3 -5 A -5 -3 -1 3 1 1 1 3 5 -5 -3 -1 -1 -3 -3 -5 -5 D 5 -3 5 3 -1 C -5 B 5 -1 3 1 1 1 3 5 -5 3 5 1 3 5 5 3 -1 1 -3 -1 -1 -3 -3 -5 -5 4 University of Maryland University College MATH 107 - 6382 (Oimoen) Quiz 3 30 January 2017 4. (9 pts) Find the slope and the y-intercept of the line with given equation. Show your work. 3 A. = B. = 34 C. 3 2 + 5 = 0 5 5 University of Maryland University College MATH 107 - 6382 (Oimoen) Quiz 3 30 January 2017 5. (12 pts) Write a slope-intercept equation for the following lines: 2 A. = , : (0,6) 5 2 B. = , (3,7) 3 C. : = 5 + 1 (3,7) 6 University of Maryland University College MATH 107 - 6382 (Oimoen) Quiz 3 30 January 2017 6. (20 pts) For each function, determine (algebraically) the zeros, and the x- and y-intercepts. Also, list the domain, the range, and relative and absolute extrema. For all, clearly identify your answer or state they do not exist and why. Also, list the intervals on which the function is increasing, decreasing, or constant. Show your work. 1 7 2 8 a. () = |5 | 7 University of Maryland University College MATH 107 - 6382 (Oimoen) Quiz 3 30 January 2017 b. () = 5 2| 2| 8 University of Maryland University College MATH 107 - 6382 (Oimoen) Quiz 3 30 January 2017 7. (19 pts) A couple purchased a house in 2005. In 2009, the house appraised for $475,400. The couple refinanced the house in 2014 and the appraisal was $468,800. The couple determined a linear relationship existed between the number of years since 2005 and the appraised value of the house. Use this information to answer the following (show your work): a. Write a linear equation that models this relationship. Be sure to define any variables used. b. Use the model (equation) to estimate the value of the house in 2011. c. Use the model (equation) to estimate the value of the house when initially purchased. d. Discuss the meaning of the slope within the context of this problem. 9