Rational Functions Worksheet

Rational Functions Worksheet - F) with its equation....

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Rational Functions Part A. Carefully sketch the complete graph of each of the following rational functions. For each function, clearly label (a) the equations of the vertical and horizontal aysmptotes and (b) the x- and the y-intercept(s). (1) f ( x ) 2 x 1 x 2 (2) g ( x ) x x 2 4 (3) h ( x ) x 2 x 2 4 (4) f ( x ) 2 x 2 5 x 2 x 2 x 2 (5) p ( x ) x 5 x 2 4 (6) f ( x ) x 2 2 x 2 1 For (1), (2), and (6), what is the domain and range of the function? For (3), where is the function increasing? Where is it decreasing? Do any of these functions have local maximums or minimums? If so, which ones and where? Part B . Without using your graphing calculator, match each of the following graphs (A-
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Unformatted text preview: F) with its equation. Explain how you decided which graph matched which equation. (1) y 2 x 3 x 1 (2) f ( x ) 9 x 2 x 2 4 (3) y x 2 1 x 2 x 6 (4) p ( x ) x 2 4 x 2 1 (5) g ( x ) x 2 4 x 3 x 2 4 (6) h ( x ) x 2 x 2 x 2 x 6 (7) y x 2 x 6 x 2 1 (8) f ( x ) x 2 5 x 4 x 2 4 (9) r ( x ) x 2 1 x 2 x 6 (A) 5-5 5-5 (B) 5-5 5-5 (C) 5-5 5-5 (D) 5-5 5-5 (E) 5-5 5-5 (F) 5-5 5-5...
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This note was uploaded on 12/21/2011 for the course MAT 194 taught by Professor Staff during the Fall '08 term at Syracuse.

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Rational Functions Worksheet - F) with its equation....

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