1300_F2011_Sec_56-filled

1300_F2011_Sec_56-filled - Math 1300 Section 5.6 Rational...

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Math 1300 Section 5.6 1 Rational Functions Definition: A rational function is a function that contains a rational expression. Working with rational functions Rational functions and rational expressions are very similar, except rational functions are rational expressions that have been named. Examples: f ( x ) = 23 17 2 3 - + x x , g ( x ) = 1 2 1 2 + - - x x x , h ( x ) = 10 11 8 2 2 2 + - - - x x x x Domain of a Rational Function (revisited): Remember: The domain of a rational function is all real numbers except where the denominator equals zero. To find the domain of a rational function, set the denominator not equal to zero and solve. Then write your answer in interval notation. Examples: 1. Find the domain of f ( x ) = 5 2 3 + - x x . 2. Find the domain of f ( x ) = 1 2 1 2 + - - x x x . 3. Find the domain of f ( x ) = 3 5 2 5 7 2 - - + x x x .
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Math 1300 Section 5.6 2 Vertical Asymptotes Above, we used the denominator to find the domain of a rational function. The number where the denominator is not equal to zero is called a
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1300_F2011_Sec_56-filled - Math 1300 Section 5.6 Rational...

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