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Key Terms Chapter 07: Rational Expressions and Functions

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    Example and Directions
    Words (or words that have the same definition)The definition is case sensitive(Optional) Image to display with the definition [Not displayed in Glossary, only in pop-up on pages](Optional) Caption for Image(Optional) External or Internal Link(Optional) Source for Definition
    (Eg. "Genetic, Hereditary, DNA ...")(Eg. "Relating to genes or heredity")The infamous double helix; Delmar Larsen
    Glossary Entries
    complex rational expressionA complex rational expression is a rational expression in which the numerator and/or denominator contains a rational expression.    
    critical point of a rational inequalityThe critical point of a rational inequality is a number which makes the rational expression zero or undefined.    
    extraneous solution to a rational equationAn extraneous solution to a rational equation is an algebraic solution that would cause any of the expressions in the original equation to be undefined.    
    proportionWhen two rational expressions are equal, the equation relating them is called a proportion.    
    rational equationA rational equation is an equation that contains a rational expression.    
    rational expressionA rational expression is an expression of the form \(\frac{p}{q}\), where \(p\) and \(q\) are polynomials and \(q≠0\).    
    rational functionA rational function is a function of the form \(R(x)=\frac{p(x)}{q(x)}\) where \(p(x)\) and \(q(x)\) are polynomial functions and \(q(x)\) is not zero.    
    rational inequalityA rational inequality is an inequality that contains a rational expression.    
    similar figuresTwo figures are similar if the measures of their corresponding angles are equal and their corresponding sides have the same ratio.    
    simplified rational expressionA simplified rational expression has no common factors, other than \(1\), in its numerator and denominator.    
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