3.5 Rational Functions answer.pdf - 3.5 Rational Functions...

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SP20-MATH0314/1314-Miller- 3.5 Page 1 of 5 LANGFORD 3.5 Rational Functions Rational Functions Rational Functions : quotients of polynomial functions p x f x q x , where p and q are polynomial functions and   0 q x . Domain of a Rational Function: the set of all real numbers except the x -values that make the denominator zero . To Find the Domain of a Rational Function: (CA 2.3) 1) Set the denominator = 0 and solve for x . 2) Exclude the resulting real values of x from the domain . Ex. Find the domain of each rational function. Write the domain in interval notation. (a)   3 7 5 2 x f x x (b)   2 2 4 x F x x (c) 2 2 6 x R x x x (d) 2 1 1 x H x x
SP20-MATH0314/1314-Miller- 3.5 Page 2 of 5 LANGFORD Vertical Asymptotes of Rational Functions Vertical Asymptotes : The line x a is a vertical asymptote of the graph of a function f if   f x increases or decreases without bound as x approaches a . Thus, as x approaches a from either the left or the right.

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