Key Terms Chapter 03: Graphs and Functions
- Page ID
- 102244
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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 |
|---|---|---|---|---|---|
| boundary line | The line with equation \(Ax+By=C\) is the boundary line that separates the region where \(Ax+By>C\) from the region where \(Ax+By<C\). | ||||
| domain of a relation | The domain of a relation is all the \(x\)-values in the ordered pairs of the relation. | ||||
| function | A function is a relation that assigns to each element in its domain exactly one element in the range. | ||||
| horizontal line | A horizontal line is the graph of an equation of the form \(y=b\). The line passes through the y-axis at \((0,b)\). | ||||
| intercepts of a line | The points where a line crosses the \(x\)-axis and the \(y\)-axis are called the intercepts of the line. | ||||
| linear equation | An equation of the form \(Ax+By=C\), where \(A\) and \(B\) are not both zero, is called a linear equation in two variables. | ||||
| linear inequality | A linear inequality is an inequality that can be written in one of the following forms: \(Ax+By>C\), \(Ax+By≥C\), \(Ax+By<C\), or \(Ax+By≤C\), where \(A\) and \(B\) are not both zero. | ||||
| mapping | A mapping is sometimes used to show a relation. The arrows show the pairing of the elements of the domain with the elements of the range. | ||||
| ordered pair | An ordered pair, \((x,y)\) gives the coordinates of a point in a rectangular coordinate system. The first number is the \(x\)-coordinate. The second number is the \(y\)-coordinate. | ||||
| origin | The point \((0,0)\) is called the origin. It is the point where the \(x\)-axis and \(y\)-axis intersect. | ||||
| parallel lines | Parallel lines are lines in the same plane that do not intersect. | ||||
| perpendicular lines | Perpendicular lines are lines in the same plane that form a right angle. | ||||
| point-slope form | The point-slope form of an equation of a line with slope \(m\) and containing the point \((x_1,y_1)\) is \(y−y_1=m(x−x_1)\). | ||||
| range of a relation | The range of a relation is all the \(y\)-values in the ordered pairs of the relation. | ||||
| relation | A relation is any set of ordered pairs, \((x,y)\). All the \(x\)-values in the ordered pairs together make up the domain. All the \(y\)-values in the ordered pairs together make up the range. | ||||
| solution of a linear equation in two variables | An ordered pair \((x,y)\) is a solution of the linear equation \(Ax+By=C\), if the equation is a true statement when the \(x\)- and \(y\)-values of the ordered pair are substituted into the equation. | ||||
| solution to a linear inequality | An ordered pair \((x,y)\) is a solution to a linear inequality if the inequality is true when we substitute the values of \(x\) and \(y\). | ||||
| standard form of a linear equation | A linear equation is in standard form when it is written \(Ax+By=C\). | ||||
| vertical line | A vertical line is the graph of an equation of the form \(x=a\). The line passes through the \(x\)-axis at \((𝑎,0)\). |