PracticeExam3 - ( x ) = 19 x 1005 + 7 x 83 + 21. (b) Let r...

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Math 141 Practice Exam 3 1. Sketch the graph of the following functions. Be sure to include all intercepts and asymptotes. (horizontal, vertical, or slant) (a) p ( x ) = x 3 - 2 x 2 - x + 2 (b) p ( x ) = x 4 - 4 x 3 + 3 x 2 + 4 x - 4 (c) p ( x ) = x 5 - 4 x 3 - 2 x 2 + 3 x + 2 (d) p ( x ) = 2 x 5 + 3 x 4 - 2 x 3 - 4 x 2 - 1 (e) p ( x ) = x 4 + 2 x 2 + 1 2. Sketch the graph of the following functions. Be sure to include all intercepts and asymptotes. (horizontal, vertical, or slant) (a) r ( x ) = x 3 - x 2 - x + 1 x 2 + x - 2 (b) r ( x ) = x 2 - 2 x - 3 x 2 + x - 2 (c) r ( x ) = x 2 - 2 x - 3 x 3 - 3 x + 2 (d) r ( x ) = x 2 - 4 x + 2 (e) r ( x ) = x 2 - 4 x - 1 3. For the following statements, tell me whether they are true or false. (a) ( x - 19) is a factor of the polynomial p
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Unformatted text preview: ( x ) = 19 x 1005 + 7 x 83 + 21. (b) Let r ( x ) = x 2-4 x +2 . The rational function R ( x ) has a vertical asymptote at x = 4. (c) Let f ( x ) = ( x + 2) 3 2 . Then-1 dom ( f ). (d) Let f ( x ) = ( x + 1) 2 3 . Then-1 range ( f ). (e) Let f ( x ) = ( x + 1) 2 3 . Then the graph of f ( x ) is symmetric about the y-axis. (f) Let f ( x ) = ( x + 1) 2 3 . The the graph of f ( x ) is symmetric about the line y = 1 (g) Professor Monarres has an eyeless dog...
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