Applications of Inverse Functions Lesson 2.11. Example #1 – Part A In words: The total cost is 7 dollars plus 4 dollars for every thousand gallons used.

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Presentation transcript:

Applications of Inverse Functions Lesson 2.11

Example #1 – Part A In words: The total cost is 7 dollars plus 4 dollars for every thousand gallons used. Number of gallons used (in thousands) Monthly cost (in dollars)

Example #1 – Part B Number of gallons used (in thousands) Monthly cost (in dollars)

Summary of Part A and Part B Part APart B Independent Variable Dependent Variable inverse functions independent dependent

An easier way- Using Inverses Since these functions are inverses, use one to find the other: Monthly cost, depending on gallons used: Gallons used, depending on monthly cost: SADMEG

Check for Understanding  What was the first step we took to solving part a?  How did we identify the independent and dependent variables?  How did we know that c(x) and g(x) were inverses?  How did we find c(x)?

Check for Understanding  Turn and talk with your partner: Describe the steps to solve this kind of problem.

Summary In the summary box, write a summary in your notes of the steps to solve this kind of problem.

Practice # of months watering Current height of flower

Practice # of months watering Current height of flower

Examples with specific variables.

 Stop and jot: In your summary box, write a summary of the steps we took  Turn and talk – share your summary

Independent Practice

Reminders  Preview HW  Why is it important to pack up quickly?