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# Alg II Unit 2 Vocab

### Unit 2 vocab

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

Coincide | To overlap, or in the case of lines, to be identical. |

Feasible Region | A region on a graph that includes all possible solutions to a system of inequalities. |

Ordered Pair | A combination of x- and y -coordinates that describe a point on a graph. |

Parallel Lines | Two lines with equal slopes that never intersect. |

System of Linear Equations | A group of linear equations that have the same variables and are used together to solve a problem. A linear equation can be written in the form y = mx + b. The graph of a linear equation is a straight line. |

Coefficients | Numbers that multiply variables. |

Linear Inequality | An inequality in which the variable is of degree one. |

Slope-Intercept Form | A form of a linear equation that includes the slope of the line and the value of the y-intercept. |

Standard form of a Linear Equation | A linear equation written in the form Ax + By = C. |

Undefined | A value that cannot be computed. |

X-axis | The horizontal axis in a Cartesian coordinate system. |

Y-axis | The vertical axis in a Cartesian coordinate system. |

X-intercept | A point where the graph of a function crosses the x-axis. |

Y-intercept | A point where the graph of a function crosses the y-axis. A function has at most one y-intercept. The y-intercept of the line with equation y = mx + b is the point (0, b). |

Linear Function | A function whose graph is a line. |

Slope | A measure of the steepness of a line. The slope equals rise divided by run for any two points on the line. A line that rises from left to right has a positive slope. A line that falls from left to right has a negative slope. |

Dependent Variable | A variable whose value depends on the value of another variable. It is graphed on the vertical axis, or y-axis, of the xy-plane. |

Independent Variable | The input variable in a function. Its value determines the value of the dependent variable. |

Domain | The set of all possible values of the independent variable. It is also the set of all values a function takes as inputs. |

Function | A special kind of relation in which each value of the input variable is paired with exactly one value of the output variable. |

Interval Notation | A shorthand way of writing intervals using parentheses and brackets. |

Range | The set of all possible values of the dependent variable. It is also the set of all values a function returns as outputs. |

Relation | A pairing of one set of information with another set of information. |

Absolute Value Function | f(x) = |x|. The magnitude of x. |

Greatest Integer Function | The greatest integer less than or equal to x. f(x) = [x]. |

Horizontal Line Test | A test to see if a function is one-to-one or many-to-one. If no horizontal line intersects a graph at more than one point, the function that produced that graph is one-to-one. |

Many-to-One Function | A function in which two or more x-values map to a given y-value. |

One-to-One Function | A function in which each y-value has a single x-value mapped to it. |

Piecewise Functions | Functions made up of two or more functions, each defined over a portion of the original function's domain. |

Vertical Line Test | A method for testing whether a given graph is a function. If a vertical line can be drawn that intersects the graph in two or more points, then the graph is not a function. If no such line can be drawn, the graph is a function. |

Created by:
DrPeralta