Key Terms Chapter 07: Rational Expressions and Functions
- Page ID
- 102248
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| 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 | https://bio.libretexts.org/ | CC-BY-SA; Delmar Larsen |
| Word(s) | Definition | Image | Caption | Link | Source |
|---|---|---|---|---|---|
| complex rational expression | A complex rational expression is a rational expression in which the numerator and/or denominator contains a rational expression. | ||||
| critical point of a rational inequality | The critical point of a rational inequality is a number which makes the rational expression zero or undefined. | ||||
| extraneous solution to a rational equation | An extraneous solution to a rational equation is an algebraic solution that would cause any of the expressions in the original equation to be undefined. | ||||
| proportion | When two rational expressions are equal, the equation relating them is called a proportion. | ||||
| rational equation | A rational equation is an equation that contains a rational expression. | ||||
| rational expression | A rational expression is an expression of the form \(\frac{p}{q}\), where \(p\) and \(q\) are polynomials and \(q≠0\). | ||||
| rational function | A 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 inequality | A rational inequality is an inequality that contains a rational expression. | ||||
| similar figures | Two figures are similar if the measures of their corresponding angles are equal and their corresponding sides have the same ratio. | ||||
| simplified rational expression | A simplified rational expression has no common factors, other than \(1\), in its numerator and denominator. |