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# algebra ch. 1

### Functions

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

What is the order of the operations? | 1. do what is in the parentheses 2. do the powers 3. multiply and divide in order from left to right 4. add and subtract in order from left to right |

What is the difference between the indpendent and the dependent variables? | The dependent variable depends on the other numbers or the independent variable |

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

What is the distributive property? | For all real numbers a, b, and c, c(a+b)=ca+cb |

What is the opposite of sum theorem? | For all real numbers a and b, -(a+b)=-a+-b |

What are natural numbers/counting numbers, whole numbers, integers, rational numbers, and real numbers? | Natural/Counting: 1,2,3,4,5... Whole: 0,1,2,3,4,5... Integers: ...,-3,-2,-1,0,1,2,3... Rational: set of numbers that can be represented by ratios0,1,2/3,-34/10,.004,9.618 Real: set of numbers that can be represented by decimals 0,1,-7,pi,2.34 Real: |

What is the vertical-line test for functions? | No vertical line intersects the graph of a function in more than one point. |

Created by:
jsica