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# Chapter 6

### Exponential Equations and Functions

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

Square Root | If b² = a, then b is a square root of a. the radical sign √, represents a nonnegative square root |

Radical Sign | the symbol √ which is used to represent a square root |

Radicand | the number or expression under a radical sign |

Square Root Equation | an equation that contains a square root with a variable in the radicand |

closed | A set of numbers is closed under an operation when the operation performed on any two numbers in the set results in a number that is also in the set. |

nth root | when b to the n power equals a for an integer n greater than 1 b would be an nth root of a. |

Exponential function | a function of the form y=ab^x, where a doesn't equal 0, b doesn't equal 0, and b>0 |

Exponential growth | When a quantity increases by the same factor over equal intervals of time |

Exponential Growth function | a function of the form y=(1 + r)^1, where a>0 and r>0 |

Compound Interest | Interest earned on the principal and on previously earned interest |

Exponential Decay | When a quantity decreases by the same factor over equal intervals of time |

Exponential Decay Function | A function of the form y = a(1-r)⁺, where a > 0 and 0 < r < 1 |

Created by:
15juangra