Introducing Inverses of Functions
Introducing Inverses of Functions
Explore the relationship between a function and its inverse function in this activity.
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GR. 9-12
Skill:
Find the inverse of a function or relation. Verify that two functions are inverses using their graphs or composition of functions.
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Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
What similarities and differences do you notice between the original function and the inverse?
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Open-ended question 2
Explain the relationship that the graph of the function and the inverse have with the line .
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Open-ended question 3
The graph of a linear function passes through and . The graph of another linear function passes through and . Do you have enough information to say that and are inverses of each other?
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Open-ended question 4
Could you determine if two functions are inverses if you were given only the first point for each function?
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Open-ended question 5
Does have an inverse function? What about if the domain was restricted?
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Open-ended question 6
What is an example of a function without an inverse?
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Prerequisite Resources
