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Applications of Inverse Functions Lesson 2.11

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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)

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

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

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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

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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)?

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

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

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Practice # of months watering Current height of flower

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Practice # of months watering Current height of flower

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Examples with specific variables.

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

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Independent Practice

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

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Do-Now Solve the following equations: 1). 3X – 10 = 142). 2B + 10 = 30 3). X/3 + 16 = 204). A/3 - 9 = 21 5). 4V + 12 = 606). -2Z + 24 = 60 HERO PROBLEM:

Do-Now Solve the following equations: 1). 3X – 10 = 142). 2B + 10 = 30 3). X/3 + 16 = 204). A/3 - 9 = 21 5). 4V + 12 = 606). -2Z + 24 = 60 HERO PROBLEM:

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