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# Chapter 2 review

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

Absolute value function | f(x)=|mx+b|+c is a absolute value equation in two variables... |

dependent variable | a variable (often denoted by y ) whose value depends on that of another. |

direct variation | The equation y/x = 6 states that y "varies directly as" x since the ratio of y to x (also written y:x) never changes. The number 6 in the equation y/x = 6 is called the constant of variation. |

Domain | The domain is the set of all possible x-values which will make the function "work", and will output real y-values. |

Function | Often, the equation relates the value of a function (or functions) at some point with its values at other points. |

Function notation | The f (x) notation can be thought of as another way of representing the y-value in a function, especially when graphing. The y-axis is even labeled as the f (x) axis, when graphing. |

Independent variable | a variable (often denoted by x ) whose variation does not depend on that of another. |

linear equation | an equation between two variables that gives a straight line when plotted on a graph. |

linear function | a polynomial function of degree zero or one, or is the zero polynomial. In linear algebra and functional analysis, a linear function is a linear map. |

linear inequality | linear inequality contains one of the symbols of inequality: < is less than. > is greater than. ≤ is less than or equal to |

mapping diagram | A function is a special type of relation in which each element of the domain is paired with exactly one element in the range. A mapping shows how the elements are paired. Its like a flow chart for a function, showing the input and output values |

parent diagram | is the simplest function of a family of functions. |

point slope form | The equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line |

range | The difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6. |

Reflection | A transformation in which a geometric figure is reflected across a line, creating a mirror image. |

relation | between two sets is a collection of ordered pairs containing one object from each set |

scatter plot | A graph of plotted points that show the relationship between two sets of data. In this example, each dot represents one person's weight versus their height. |

Shrink | multiplies all y values by the same factor greater than 1. |

Slope | is often denoted by the letter m. The direction of a line is either increasing, decreasing, horizontal or vertical. |

slope intercept form | the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept |

standard form | is a way of writing down very large or very small numbers easily. |

stretch | multiples all y values . |

transformation | Change |

translation | shifts shifts a graph horizontally vertically or both |

trend line | a line that approximates the relationship between data |

vertex | each angular point of a polygon, polyhedron, or other figure. |

vertex line test | s a visual way to determine if a curve is a graph of a function or not |

x intercept | is a point on the graph where y is zero |

y intercept | f this line is the value of y at the point where the line crosses the y axis. |