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MATH 1314 LAB 4 F11

MATH 1314 LAB 4 F11 - 3(x – 2 2(x – 4 END BEHAVIOR...

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MATH1314 LAB 4 NAME: ________________ Collin County College Fall 2011 Instructor: Daryl Rupp DUE 10/10/2011 For the following polynomials: a. State the degree and the sign of the leading coefficient. Then use the information to determine the left and right behavior of the graph (the end behavior). b. List all of the real zeros with their multiplicity and state the behavior at the x-axis of each zero (crosses or touches). c. Based on parts (a) and (b), draw a rough sketch of the graph without using a calculator. d. Check part (c) with a graphing calculator. Example: p(x) = 3(x + 4) 3 (x + 1)(x – 5) 2 , Zeros Multiplicity Crosses/Touches degree 6 –4 3 Crosses sign positive –1 1 Crosses End behavior 5 2 Touches 1. f(x) = (x + 3)
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Unformatted text preview: 3 (x – 2) 2 (x – 4) END BEHAVIOR ZEROS MULTIPLICITY TOUCH/CROSS DEGREE SIGN END BEHAVIOR 2. h(x) = –3(x – 1) 2 (x + 1) 2 END BEHAVIOR ZEROS MULTIPLICITY TOUCH/CROSS DEGREE SIGN END BEHAVIOR 3. k(x) = x 3 – 4x 2 END BEHAVIOR ZEROS MULTIPLICITY TOUCH/CROSS DEGREE SIGN END BEHAVIOR 2. For each of the following rational functions: a. Find the domain. b. Find the vertical asymptote(s), if any. If no vertical asymptote, write “No VA”. c. State whether the function has a horizontal asymptote, a slant asymptote or neither; then state the equation of the horizontal or slant asymptote, if any. A(x) = 9 x 8 x 2-+ B(x) = x 6 x 11 x 8 x 7 x 2 2 2 3-+--C(x) = 1 x x 5 2 2 +...
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