ࡱ> KMJa} bjbj55 ;__yE777KKK8K\o"НННҭtL7}VzН}}~}j7}^PݛK̫07Н" _НННcLННН}}}}ННННННННН :  Name: ________________________________ Class: ________________________________ The problems in this packet are designed to help you review topics that are important to your success in Calculus. All work must be shown for each problem. Instructions: DO ALL PROBLEMS WITHOUT A CALCULATOR, EXCEPT FOR THE GRAPHING. Extra or lost packets: If you need to get another review packet over the summer it will be posted on the Northwest Web page. The Northwest Web address is :  HYPERLINK "https://northwesths.net" https://northwesths.net Due date and Deadline date: The due date for the packet is August 31, 2009. . The deadline date for the packet is September 4, 2009. Grading: This packet will count as part of your first quarter homework grade. There will also be an assessment on the topics covered in the packet. For any other questions, please contact the Math Resource Teacher, Vic Weinstein at (301) 601-4651. ENJOY YOUR SUMMER!! WE ARE LOOKING FORWARD TO SEEING YOU IN THE FALL. I. Simplify. Show the work that leads to the answer. 1.  EMBED Equation.3  2.  EMBED Equation.3  3.  EMBED Equation.3  4.  EMBED Equation.3   II. Complete the following Identities. 1.  EMBED Equation.3  2.  EMBED Equation.3  3.  EMBED Equation.3  4.  EMBED Equation.3  5.  EMBED Equation.3  6.  EMBED Equation.3   III. Simplify each expression. 1.  EMBED Equation.3  2.  EMBED Equation.3  3.  EMBED Equation.3   IV. If f(x) = {(3,5), (2,4), (1,7)}  EMBED Equation.3  determine each of the following: h(x)= {(3,2), (4,3), (1,6)}  EMBED Equation.3  1. (f + h)(1) = _______________ 2. (k g)(5) = _______________ 3.  EMBED Equation.3  _______________ 4. g( k (7)) = _______________ 5.  EMBED Equation.3 _______________ 6.  EMBED Equation.3 _______________ 7.  EMBED Equation.3 _______________ 8. (k(g)(x) = _______________  V. Miscellaneous. Follow the directions for each problem. 1. Evaluate  EMBED Equation.3 and simplify if  EMBED Equation.3  2. Expand  EMBED Equation.3  3. Simplify:  EMBED Equation.3  4. Eliminate the parameter and write a rectangular equation for x = 2t y = t2 + 3  VI. Simplify. 1.  EMBED Equation.3  ______________________ 2.  EMBED Equation.3  _____________________ 3.  EMBED Equation.3  ______________________ 4.  EMBED Equation.3  ______________________ 5.  EMBED Equation.3  ______________________ 6.  EMBED Equation.3  __________________ 7.  EMBED Equation.3  ______________________ 8.  EMBED Equation.3  _____________________ 9.  EMBED Equation.3  ______________________ 10.  EMBED Equation.3  _________________ 11.  EMBED Equation.3  ______________________ 12.  EMBED Equation.3  __________________ 13.  EMBED Equation.3  _____________________ 14.  EMBED Equation.3  ___________________  VII. Using the point-slope form y y1 = m(x x1), write an equation for the line 1. with slope 2, containing the point (3, 4) 1. __________________________ 2. containing the points (1, -3) and (-5, 2) 2. __________________________ 3. with slope 0, containing the point (4, 2) 3. __________________________ 4. perpendicular to the line in problem #1, containing 4. __________________________ the point (3, 4)  VIII. Without a calculator, determine the exact value of each expression. 1.  EMBED Equation.3  _________ 2.  EMBED Equation.3  _________ 3.  EMBED Equation.3  _________ 4.  EMBED Equation.3  _________ 5.  EMBED Equation.3  _________ 6.  EMBED Equation.3  _________ 7.  EMBED Equation.3  _________ 8.  EMBED Equation.3  _________ 9.  EMBED Equation.3  _________ 10.  EMBED Equation.3  _________ 11.  EMBED Equation.3  _________   IX. Determine all points of intersection. 1. parabola  EMBED Equation.3 and 2.  EMBED Equation.3  and  EMBED Equation.3  in the line  EMBED Equation.3  first quadrant  X. Solve for x, where x is a real number. Show the work that leads to your solution. 1.  EMBED Equation.3  2.  EMBED Equation.3  EMBED Equation.3  3.  EMBED Equation.3  4.  EMBED Equation.3  5.  EMBED Equation.3  6.  EMBED Equation.3  7.  EMBED Equation.3  8.  EMBED Equation.3 ,  EMBED Equation.3  9.  EMBED Equation.3  Hint: Take out the common factor. 10.  EMBED Equation.3  11.  EMBED Equation.3   XI. Graph each function. Give its domain and range. 1.  EMBED Equation.3  2.  EMBED Equation.3   Domain _____________ Domain _____________ Range ______________ Range ______________ 3.  EMBED Equation.3  4.  EMBED Equation.3   Domain _____________ Domain _____________ Range ______________ Range ______________ 5.  EMBED Equation.3  6.  EMBED Equation.3   Domain _____________ Domain _____________ Range ______________ Range ______________ 7.  EMBED Equation.3  8.  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