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# Test 13 Review

### Functions and Transformations

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

Function | A relationship between two quantities in which each input value has ONLY ONE output value |

Domain | The set of all input values of a function (x - values) |

Range | The set of all output values of a function (y-values or f(x) values) |

Vertical Line Test | draw vertical lines over a graph and if the lines only intersect the graph once, it is a function. If any lines intersect the graph more than once, it is not a function |

Function Notation | Change y to f(x); for example, y = 2x would change to f(x) = 2x |

General Equation of a Linear Function | f(x) = mx + b; m = slope, b = y-intercept |

Slope | Change in y (or f(x)) over change in x; the letter m in f(x) = mx + b |

y-intercept | The y-value of the point where the graph crosses the y-axis; (0, ?) ? is the y-intercept; the letter b in f(x) = mx + b |

Line Symmetry | Exists when a line can be drawn that splits the figure into two halves that are mirror images of each other. |

Point Symmetry | Exists when an object looks exactly the same when turned upside down (rotated 180 degrees); point symmetry is a type of rotational symmetry |

Rotational Symmetry | Exists when an objects looks exactly the same when turned less than 360 degrees |

Reflection | A transformation that flips a figure over a given line to create a mirror image. When you reflect in the x-axis, the ordered pair changes from (x, y) to (x, -y). When you reflect in the y-axis, the ordered pair changes from (x, y) to (-x, y) |

Translation | A transformation that slides a figure to a new location. The numbers next to T describe the slide. For example, T(2,-1) represents a slide two units to the right and 1 unit down |

Dilation | A transformation that reduces or enlarges a figure by a given scale factor (the number next to D); dilation = multiplication |

Linear Equation y = mx + b. m = ? b = ? | m = slope and b = y-intercept |

Created by:
Math7