## Standards

Standard |
Language |

A.SSE.3c | Use the properties of exponents to transform expressions for exponential functions. |

F.BF.4 | Find the inverse functions. |

F.BF.5 | Understand the inverse relationship between exponents and logarithms and use this relationship to solve problem involving logarithms and exponents. |

F.IF.7 | Graph exponential and logarithmic functions, showing intercepts and end behavior. |

F.IF.8 | Use the properties of exponents to interpret expressions for exponential functions. |

F.LE.4 | For exponential models, express as a logarithm the solution to abct= d where a,c, and d are numbers and the base b is 2, 10 or e; evaluate the logarithm using technology. |

F.BF.1 | Write a function that describes a relationship between to quantities. |

F.BF.3 | Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x+k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd function from their graphs and algebraic expressions for them. |

F.IF.2 | Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. |

## The “Story” of This Unit

Exponential functions are the most powerful in the world and they are used in every day life all of the time. Loans and credit cards…thank exponential functions, nuclear weapons…again thank exponential functions. As we explore exponents, we will use real world situations to model using exponential functions, then we will learn how to think of exponential functions “backwards” by considering the inverse of exponents. By using exponential functions and their opposites (which are called logarithms), we can answer some very powerful questions like, “How many hours before the Ebola virus infects all of humanity?” We will use graphs, tables, functions and models to explore exponential and logarithmic functions.