MATH 107 QUIZ 2 Sections 1.1 - 1.5 Instr: J. Uccellini Instructions: The quiz is worth 75 points. There are 9 problems. Your score on the quiz will be converted to a percentage and posted in your Portfolio with comments. This quiz is open book and open notes, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone or any other online resources. You should show all of your work to receive full credit. If you do not show work, you may earn only partial or no credit. Please type your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is also acceptable. Be sure to include your name in the document. Review instructions for submitting your quiz in the Quizzes and Exams Conference. If you have any questions, please contact me by e-mail (john.uccellini@umuc.edu). At the end of your quiz you must sign the following dated statement with your name typed in lieu of a signature. Without this signed statement you will receive a zero. I have completed this quiz myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz. Name: Date: NAME: _______________________________ Math 107 1. (4 pts) Which of these graphs are graphs of functions? Quiz 2 75 pts Answer(s): ____________ (no explanation required.) (There may be more than one graph which represents a function.) (A) (B) (C) (D) 2. (2 pts each pts) Which of the graphs above are describe below. If none of the graphs above fit the description of a, b or c, please write \"None\" in the space provided. a. Symmetric about the x-axis: _____________ b. Symmetric about the y-axis: _____________ c. Symmetric about the origin: ______________ 3. Given the equation 2 y=x x . (2 pts. each) a. Is the equation a function? Why? b. State the x-intercept(s) of the graph of the equation, if they exist. c. State the y-intercept(s) of the graph of the equation if they exist. d. Is the graph of the equation symmetric to the x-axis, y-axis or the origin? 4. Find the union and/or intersection of the following sets and simplify as far as possible. Express your answer in interval notation. (2 pts each) a. (-3,3) [0,5) b. {x|x>4 or x-1} c. [-10,-6) (-7,10] 5. (2 pts. each) Consider the following graph of y = f (x). (Some of the points are plotted with using dots, for your convenience.) (no explanations required) (a) State the y-intercept(s). (b) State the value of f (2). (c) State the domain. (d) State the range. 6. Let 2x 3 f (x) x5 . (3 pts. each) (a) Calculate f (2) (b) State the domain of the function 2x 3 f ( x) x5 in interval notation. (c) Find and simplify as much as possible: f (t 1) . Show work. 7. Consider the points (1,6) and (3,-2). a. Find the midpoint of the line segment with the given endpoints. Show work. (5 pts) b. Find the distance between the points. Show some work. Give the exact answer (involving a radical), simplify the radical as much as possible, and also state an approximation to three decimal places. (5 pts.) 8. Given f ( x )=x 2 -2x+1. Find the following. Show work. (3 pts each) a. Find f(-4) b. Find f(x+3) c. 4f(2x) 9. Let f ( x )= 3 x+1 and g ( x ) =5x . Show work for b, c, and d. (3 pts each) a. State the domain of f. Express your answer in interval notation. b. Find: c. Find: d. Find: (f g)(5) g (0) f (0) fg(2) e. Find and simplify: g ( x +h )g (x) h