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# PreCalculus 3

### Chapter 3 Vocab

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

Algebraic function | A function with values that are obtained by adding, subtracting, multiplying, or dividing by constants and the independent variable or raising the independent variable to a rational power. |

Common logarithm | A logarithm with base 10, usually written log x. |

Continuous compound interest | Interest that is reinvested continuously so that there is no waiting period between interest payments. |

Exponential function | A function of the form f(x)=abx, where x is any real number and a and b are real number constants such that a≠0, b is positive, and b≠1. |

Linearize | Transform data so that they appear to cluster about a line by applying a function to one or both of the variables in the data set. |

Logarithm | In the function x=by, y is called the logarithm, base b, of x. Usually written y=logbx and read log base b of x. |

Logarithmic function with base b | A function of the form y=logbx, where b>0, b≠0, and x>0, which is the inverse of the exponential function of the form by=x. |

Logistic growth function | A function that models exponential growth with limiting factors. These functions are bounded by horizontal asymptotes y=0 and y=c, where c is the limit of growth. |

Natural base | The irrational number e, which is approximately equal to 2.718281828…. |

Natural logarithm | A logarithm with base e, written ln x. |

Transcendental function | A function that cannot be expressed in terms of algebraic operations, such as an exponential or logarithmic function. |

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ballen1209