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Coordinate Algebra: Unit 3

Name___________________            Date_________________ Period____________

Lesson 7: Writing Exponential Functions Guided Notes

|Standard and Skills |

|F.LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two |

|input-output pairs (include reading these from a table). |

|F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. |

| |

|SWBAT create a graph of an exponential function given a description of the relationship |

|SWBAT create a graph of an exponential function given a table of values |

I. Writing Exponential Functions

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An __________________________________________is a function when it starts at ___________________. This is

what we call the ____________________ of the function.

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Example 1: Write an exponential equation for a situation.

|Hour |0 |

|-2 |729 |

|-1 |243 |

|0 |81 |

|1 |27 |

|2 |9 |

|3 |3 |

1. Each year the local country club sponsors a tennis tournament.  Play starts with 128 participants.  During each round, half of the players are eliminated. 

|Rounds |1 |

|0 |330 |

|1 |165 |

|2 |82.5 |

|3 |41.25 |

|4 |20.625 |

8. The following table represents how the amount of caffeine in your system each hour after drinking a grande coffee.

a. Write an equation based on the information:

b. How many hours would it take to have less than 1mg of caffeine left in your system?

9. Sally has a leaking faucet in her bathroom. When she first noticed the leak, there was a puddle that was 2 inches in diameter. Each hour, the diameter will triple in size. If Sally doesn’t do anything to stop the leak, how large will the puddle be after 10 hours?

10. Write the equation that is represented by the data in the table below. ____________________

Time (years) |0 |1 |2 |3 |4 |5 | |No. of cars |5 |10 |20 |40 |80 |160 | |

How many years would it take to over 10,000 cars?

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