Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# Linear Functions

### Vocabulary

Term | Definition |
---|---|

function | a relation where each item of the domain is paired with exactly one item in the range |

independent variable | all values in the domain; x-values; these items are chosen |

dependent variable | all values in the range; y-values; these will depend on the domain |

vertical line test | when looking at a graph, a vertical line passes through no more than one point on the graph; if it passes through more than one point, it is not a function |

function rule | describes the operations performed on the domain to get the range; written in equation form... y = 2x + 3 |

function notation | a way to write an equation; f(x) = 2x + 3 where f(x) is basically the same as "y" |

proportional relationship | has a constant of proportionality; graphs a straight line; line passes through the origin |

linear equation | an equation whose line is a graph |

linear function | a function in which the graph of the solutions form a straight line |

function table | a table that shows the values for x, y, and the rule |

x-intercept | point where the graph crosses the x-axis (y = zero) |

y-intercept | point where the graph crosses the y-axis (x = zero); identified by the variable "b" in the slope-intercept form |

rate of change | rate that describes how one quantity changes in relation to another quantity (positive = increase; negative = decrease; zero = no change) |

linear relationship | where the rate of change between any two quantities is the same |

constant rate of change | the same change between any two quantities (unit rate) |

slope | ratio of the vertical change to the horizontal change (steepness of the line); m = (y2 - y1) / (x2 - x1); slope can be positive, negative, no slope, or undefined |

slope-intercept form | y = mx + b where "m" is the slope and "b" is the y-intercept |

system of equations | a collection of two or more equations with the same set of varibables |

substitution | using Algebraic methods to find the exact solution of a system of equations |

Created by:
MiddleSchoolChaos