Introducing Inverses of Functions
Explore the relationship between a function and its inverse function in this activity.
課題1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
課題2
What similarities and differences do you notice between the original function and the inverse?
課題3
Explain the relationship that the graph of the function and the inverse have with the line .
課題4
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?
課題5
Could you determine if two functions are inverses if you were given only the first point for each function?
課題6
Does have an inverse function? What about if the domain was restricted?
課題7
What is an example of a function without an inverse?