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# Col Alg II ch 1

### College Algebra II BGSU chapter one

Question | Answer |
---|---|

The name we use for a set of ordered pairs is a ___. | relation |

We often use the notation (x,y) to name an ordered pair. When given a set of ordered pairs, the set containing all of the x's is called the ___. | domain |

We often use the notation (x,y) to name an ordered pair. When given a set of ordered pairs, the set containing all of the y's is called the ___. | range |

A relation between two sets so that each member of the first set goes with exactly one member of the second set is called a ___. | function |

A function is a ___ between ___ ____ so that each member of the ___ corresponds to ___ ___ member of the ___. | relation, two sets, domain, exactly one, range |

We can determine whether a graph is that of a function by applying the Vertical Line Test. The graph is that of a function if ___. | every vertical line crosses the graph at most once |

The easiest way to show that a relation is not a function is to find one member of the ___ that goes with two members of the ___. | domain, range |

For a function f, f(a)=b means the point __ is a point on the graph. | (a,b) |

For a function f, if the point (a,b) is a point on the graph, then f(__)=___. | a,b |

If f(a)=b, then the function sends the x-value ___ to the y-value ___. | a, b |

We read the symbols "f(x)" as___. | f of x |

If you are given the graph of f, and are asked to find f(a) for some number a, you find the point on the graph where the ___-value is a, then find the ___-value of that point. The answer to f(a) is that ___-value. | x,y,y |

If you are given the graph of f, and are asked to solve f(x)=b for some number b, you find the point(s) on the graph where the ___-value is b, then find the ___-value of that/those point(s). The answer to f(x)=b is that/those ___-value(s). | y,x,x |

The slope of the line containing the points (x1, y1) and (x2, y2) is ___. | (y2 - y1)/(x2 - x1) |

If f is a linear function, then the slope of the function between x1 and x2 is ___. | (f(x2)-f(x1))/(x2-x1) |

If a function can be written in the form f(x)=ax+b, where a and b are numbers, it is called a ___ function. | linear |

For a linear function f(x)=ax+b, a is the ___ and b is the __. | slope, y-intercept |

The point where a graph crosses the y-axis is called the ___ of the graph. | y-intercept |

We say a graph is increasing on the interval a < x < b if, as you move along the graph from left to right, between x=a and x=b, the y-values get ___. | bigger |

We say a graph is decreasing on the interval a < x < b if, as you move along the graph from left to right, between x=a and x=b, the y-values get ___. | smaller |

What is the interval notation for the set of x's that are greater than a and less than b? | (a,b) |

What is the interval notation for the set of x's that are greater than or equal to a and less than or equal to b? | [a,b] |

What is the interval notation for the set of x's that are greater than or equal to a and less than b? | [a,b) |

What is the interval notation for the set of x's that are greater than a and less than or equal to b? | (a,b] |

Created by:
KonraFriedberg