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# Chapter 1 Clark

### Chapter 1 flash cards

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

Vertical Line Test for Functions | No vertical line intersects the graph at more then one point |

What is a variable? | A symbol that can be replaced by any one of a set of numbers or other objects |

What is an algebraic expression? | A combining of numbers, variables, and operations in a way that stands for a number. |

What is required in an algebraic sentence? | An algebraic expression that is related with with an equality or an inequality. |

Opposite of a Sum Theorem | For all real numbers a and b -(a+b)= -a+-b |

Slope Theorem | The graph of the direct-variation function y-kx has constant slope k. |

Dependent Variable | A variable whose value always depends on the value(s) of the other variable(s).Deals with Range and output. |

Independent Variable | A variable whose value determines the other variable(s) value(s). Deals with Domain and input. |

Natural/ Counting Numbers | 1,2,3,4,.... |

Whole Numbers | 0,1,2,3,4,... |

Integers | .....-3,-2,-1,0,1,2,3,... |

Rational Numbers | 0,1,-7, 2/3, .004, 6 7/9, |

Real Numbers | 0, 1, -7, pi, anything that can be represented by decimals |

What does "y" also equal? | f(x) (F of x) This form is call f(x) notation |

What is any set of ordered pairs called? | A relation |

What is a function? | Any relation in which no two different ordered pairs have the same first coordinate. |

Theorem (Vertical-Line Test for Functions) | No vertical line intersects the graph a function in more then one point. |

Recursive Formula | Formula where the first term is given and gives a rule on how to find the nth term. |

Created by:
TWenderski