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# Math098

### Exponential and Logarithmic Function Vocabulary

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

Inverse Function | The inverse function can be found by switching the coordinates of the ordered pairs of the function |

Sum of Functions | (f + g)(x) = f(x) + g(x) |

Difference of Functions | (f - g)(x) = f(x) - g(x) |

Product of Functions | (f ∙ g)(x) = f(x) ∙ g(x) |

Quotient of Functions | (f / g)(x) = f(x) / g(x), g(x)≠ 0 |

Common Logarithm | Log x means base 10 but is not written |

Composition of Functions | (f ∘ g)(x) = f(g(x)) (g ∘ f)(x) = g(f(x)) |

Exponential Function | A function of the form f(x) = b^x if b >0, b is not 1, and x is a real number. |

Logarithmic Function | |

Natural Logarithm | Logarithm with base e. |

Half-Life | Is the amount of time it takes for half of the amount of a substance to decay. |

Exponential Growth | A quantity that grows by the same percent at regular time periods. |

Exponential Decay | A quantity that decays by the same percent at regular time periods. |

Product Property of Logarithm | log xy = log x + log y with the same base |

Quotient Property of Logarithm | og x/y = log x - log y with the same base |

Power Property of Logarithm | log x^r = r log x with the same base |

Continuously Compounded Interest Formula | A=Pe^rt |

Compound Interest Formula | A=P(1+r/n)^nt |

Exponential Growth Model | y = C( 1 + r) ^ x |

Exponential Decay Model | y = C(1 - r)^x |

Change of base formula | logb x= loga x/loga b |