Math 107 Quiz 3 Spring 2017 OL4 Professor: Dr. Katiraie Name________________________________ Instructions: The quiz is worth 100 points. There are 10 problems, each worth 10 points. Your score will be 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. 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 midterm exam in the Quizzes and Exams Conference. If you have any questions, please contact me by e-mail (farajollah.katiraie@faculty.umuc.edu). At the end of your quiz, you must include 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: Please remember to show ALL of your work on every problem. If there is no work to show, then include a sentence or two explaining your answer. Here are the basic rules of showing work: a) Each step should show the complete expression or equation rather than a piece of it. b) Each new step should follow logically from the previous step, following rules of algebra. c) Each new step should be beneath the previous step. d) The equal sign, =, should only connect equal numbers or expressions. Our textbook is full of good models of work shown correctly. If you have questions about showing work, please ask. Math 107 Quiz 3 Page 2 Please Show or Explain Your Work on Each Problem. 1) Sketch the graph of the following function. State the domain of the function, identify any intercepts and test for symmetry. f ( x )=8x 2 2) Sketch the graph of the following function. State the domain of the function, identify any intercepts and test for symmetry. f ( x )=53 x +2 3) Suppose (3, - 4) is on the graph of y = f(x). Use Theorem 1.7 to find a point on the graph of the following transformed function. y=2 f ( x7 )+ 3 4) Find both the point-slope form and the slope-intercept form of the line with the given slope which passes through the given point. Math 107 Quiz 3 Page 3 2 m= , P=(5 ,10) 5 5) Find both the point-slope form and the slope-intercept form of the line with the given slope which passes through the given point. m=0, P=(50 , 100) 6) Find the slope-intercept form of the line which passes through the given points. P=(5 ,10 ) Q=(5 , 20) 7) A salesperson is paid $300 per week plus 4% commission on her weekly sales of x dollars. Find a linear function that represents her total weekly pay, W (in dollars) in terms of x. What must her weekly sales be in order for her to earn 475.00 for the week? 8) Solve the equation. Math 107 Quiz 3 Page 4 17|x| =3 5 9) Given the function. 1 f ( x )= |3 x1| 2 a) Graph the function b) Find the zeros of the above function c) Find the x- and y-intercepts of the above graph, if any exist. d) From the graph, determine the domain and range of the given function, e) List the intervals on which the function is increasing, decreasing or constant, and f) Find the relative and absolute extrema, if they exist. 10) Given the function a) Graph the function f ( x )= |x +5| x +5 Math 107 Quiz 3 Page 5 b) Find the zeros of the above function c) Find the x- and y-intercepts of the above graph, if any exist. d) From the graph, determine the domain and range of the given function, e) List the intervals on which the function is increasing, decreasing or constant, and f) Find the relative and absolute extrema, if they exist. End of Quiz 3: please do not forget to write and sign (or type) the required statement explained in the box above Part I of the Quiz 3