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