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# Alg1B Unit 5

### Exponentials

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

Product rule for exponents | To multiply exponential expressions that have the same base, add the exponents and use the sum as the exponent of the shared base. |

Product to power rule for exponents | To raise a product to a power, separately raise each factor in the product to that power. |

Quotient to power rule for exponents | To raise a quotient to a power, separately raise the numerator and the denominator in the quotient to that power. |

Quotient rule for exponents | To divide exponential expressions that have the same base, subtract the exponent in the denominator from the exponent in the numerator and use the difference as the exponent of the shared base. |

Power rule for exponents | To raise an exponential expression to a power, multiply the exponents and use the product as the exponent of the base. |

Initial value | The value of a function that corresponds to the y-intercept of the function’s graph. |

y-intercept | The point at which a graph intersects the y-axis. |

Growth rate | The measure of how a function changes over a specified interval. |

Coefficient | The number before a variable. |

Base | The repeated factor in an exponential expression. |

Exponential growth function | A function of the form y=a·b^x for which y-values increase as x-values increase. |

Exponential decay function | A function of the form y=a·b^x for which y-values decrease as x-values increase. |