INSTRUCTIONS The quiz is worth 100 points. There are 10 problems. This quiz is open book and open notes. This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone (and confirm this with your submission). You may take as much time as you wish, provided you turn in your quiz no later than September 18. Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is acceptable also. In your document, be sure to include your name and the assertion of independence of work. General quiz tips and instructions for submitting work are posted in the Quizzes module. If you have any questions, please contact me by e-mail. 1. Solve the given linear equation and check your answer. a. -0.02y + 1000 = 0 5. b. 49 w14 =3 7 c. 7- (4 - x) = 2 x3 2 2. Solve the inequality. Write your answer using interval notation. a. |3x - 5| 4 b. |7t + 2| > 10 c. |2w + 1| - 5 < 0 3. Write the set using interval notation. a. {x | x 0, 2} b. {x | x < 3 or x 2} c. {x | x 3 or x > 0} 4. Find all of the points of the form (x, 1) which are 4 units from the point (3, 2). 5. Let f be the function defined by f = {(3, 4),(2, 2),(1, 0),(0, 1),(1, 3),(2, 4),(3, 1)} and let g be the function defined g = {(3, 2),(2, 0),(1, 4),(0, 0),(1, 3),(2, 1),(3, 2)} . Compute the indicated value if it exists. a. (f + g)(3) b. (f g)(2) c. (fg)(1) 6. Find the profit function P(x) and the number of items which need to be sold in order to maximize profit : The daily cost, in dollars, to produce x Sasquatch Berry Pies is C(x) = 3x + 36, x 0 and the price-demand function, in dollars per pie, is p(x) = 12 0.5x, 0 x 24. 7. Find the degree, the leading term, the leading coefficient, the constant term and the end behavior of the given polynomial: P(x) = (x 1)(x 2)(x 3)(x 4) 8. For the given rational function f: find the domain of f. identify any vertical asymptotes of the graph of y = f(x) a. f(x) = x 3 x6 b. f(x) = 4x x 2 +4 c) f(x) = x x +1 2 9. Solve the equation or inequality a. x + 1 3 x +7 3 b. x2 = 8 c. 2x + 1 = 33 x 10. Find the domain of the function; 2 a. f(x) = ln( x + 1) b. f(x) log7 ( 4 x+ 8) c. f(x) = ln(4x 20)