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# Chapter Review

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

Absolute value function | a function of the form f(x)= |mx+b|+c where m is does not equal 0 |

dependent variable | y |

direct variation | A linear function defined by and equation of the form y=kx, Where k is not equal to 0 |

domain | is the set of all inputs, or x-coordinates of the ordered pairs |

function | is a relation in which each element of the domain is paired with exactly one element in the range |

function notation | f(x) as "f of x" or "a function f of x" |

independent variable | x |

linear equation | represent a linear function, is any ordered pair (x,y) that makes the equation true |

linear function | a function whose graph is a line |

linear inequality | is an inequality in two varibales whose graph is a region of the coordinate plane that is bounded by a line |

parallel lines | never ending lines |

perpendicular lines | lines that cross and form a 90 degree angle |

mapping diagram | links elements of the domain with corresponding elements of the range |

parent function | is the simplest function with these characteristics |

point-slope form | y-y1= m(x-x1) |

range | is the set of all outputs, or y-coordinates of the ordered paired |

reflection | in the x-axis changes y-values to their opposites. when you change the y-values of a graph to their opposites, the graph reflects across the x-axis |

relation | is a set of pairs of input and output values |

scatter plot | is a graph that relates two different sets of data by plotting the data as ordered pairs |

shrink | reduces y-values by a factor between 0 and 1, thereby compressing the graph vertically |

slope | is the ratio of the vertical change to a corresponding horizontal change |

slope-intercept form | y=mx+b |

standard form | Ax+By=C |

stretch | multiplies all y-values by the same factor greater than1, thereby stretching a graph vertically |

transformation | change of a parent function |

translation | a graph horizontally, vertically, or both. results in a graph of the same shape and size but possible in a different position |

trend line | is a line that approximates the relationship between the data sets of a scatter plot |

vertex | is a point where the function reaches a maximum or minimum |

vertical-line test | tells whether the relation is a function |

x-interept | is the point at which the line crosses the x-axis |

y-intercept | is the point at which the line crosses the y-axis |

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