Algebra 2 Worksheet



#21 Algebra 2 Combo Worksheet Name: ____________________

Determine whether the function shows growth or decay, find the percent of increase or decrease and give the domain and range.

|1. [pic] |2. [pic] |

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II. Write an exponential function [pic] to model the information. Then use your model to make the requested prediction or estimate the time.

|3. Suppose you buy a computer that costs $1150 and expect for its value to |4. If a stock priced at $27 increases at a rate of 6.04% each year, when |

|depreciate by 42% each year. What will be the computer’s resale value in 3 |will it be worth approximately $100? Round to the nearest tenth of a year. |

|years? | |

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III. Given [pic], find the equation of its inverse, [pic].

|5. [pic] |6. [pic] |

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IV. Rewrite each equation in logarithmic form. VI. Rewrite each equation in exponential form.

|7. [pic] |8. [pic] |9. [pic] |10. [pic] |

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V. Evaluate each logarithm WITHOUT the calculator.

|11. [pic]= x |12. [pic]= x |13. [pic] |14. [pic] |

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|15. [pic] |16. [pic] |17. [pic] |18. [pic] |

Write as a single log. Simplify if possible.

|1. [pic] |2. [pic] |3. [pic] |

|4. [pic] |5. [pic] |6. [pic] |

Simplify if possible. Show all work

|7. [pic] |8. [pic] |9. [pic] |10. [pic] |

|11. [pic] |12. [pic] |13. [pic] |

Write as a single log. Simplify if possible.

|14. [pic] |15. [pic] |16. [pic] |

|17. [pic] |18. [pic] |19. [pic] |

Simplify if possible. Show all work

|20. [pic] |21. [pic] |22. [pic] |23. [pic] |

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Growth or Decay? __________

Percent Increase/Decrease? ____________

Domain: __________ Range: __________

Growth or Decay? _______________

Percent Increase/Decrease? ____________

Domain: __________ Range: __________

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