Unformatted text preview: equation? How would this change the graph? Add (x + 4) as a factor in the numerator. The function is now 4 ) 4 )( 4 2 ( ) ( + + + = x x x x f and the graph would be the line y = 2x + 4 with a hole at (4, 4). 4. Which of the problems above have a range that is the set of all reals? How can you tell from the graph? . Problem # 4 has a range that is the set of all reals. For +∞ → − → + ) ( , 3 x f x and for −∞ → → − ) ( , 2 x f x 5. Write an equation for a rational function that has (a) at least one zero, (b) two vertical asymptotes and one “hole”, and c) a horizontal asymptote other than 0. Hand it to another student to solve. One example would be 4 4 4 ) ( 2 3 2 3 − − + + = x x x x x x f...
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This note was uploaded on 10/10/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.
 Fall '08
 GERMAN
 Calculus, PreCalculus, Rational Functions

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