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