domain of rational function Finding the domain of rational functions A rational function may be defined as any function in the form f x p x q x where p x and q x are both polynomials and q x 0 The domain of a rational function is all real numbers x except those that would set the denominator to zero
The domain of a rational function includes all real numbers except those that cause the denominator to equal zero How To Given a rational function find the domain Set the denominator equal to zero The domain of a rational function includes all real numbers except those that cause the denominator to equal zero The vertical asymptotes of a rational function will occur where the denominator of the function
domain of rational function
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The domain of a rational function includes all real numbers except those that cause the denominator to equal zero How To Given a rational function find the domain Set the denominator equal to zero Solve to find the x values that cause the denominator to equal zero The domain is all real numbers except those found in Step 2 Key Points A rational function is any function which can be written as the ratio of two polynomial functions where the polynomial in the denominator is not equal to zero The domain of latex f x frac P x Q x latex is the set of all points latex x latex for which the denominator latex Q x latex is not zero
Definition Rational Functions A function is called a rational function if it can be written in the form where and are polynomial functions and 0 for all We note that the domain of has to exclude any points where 0 Finding the Domains of Rational Functions A vertical asymptote represents a value at which a rational function is undefined so that value is not in the domain of the function A reciprocal function cannot have values in its
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Domain of rational expressions The domain of any expression is the set of all possible input values In the case of rational expressions we can input any value except for those that make the denominator equal to 0 since division by 0 is undefined To find the domain of a rational function we need to identify any points that would lead to a denominator of zero To find the range of a rational function we need to identify all values that the function cannot take
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