Introducing Inverses of Functions

Introducing Inverses of Functions

Explore the relationship between a function and its inverse function in this activity.

GeoGebra Content Team

Зохиогч:


Share it with your students:

Student Link

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Нээлттэй асуулт 1

What similarities and differences do you notice between the original function and the inverse?

Бичвэр болон мат оролт

Нээлттэй асуулт 2

Explain the relationship that the graph of the function and the inverse have with the line .

Бичвэр болон мат оролт

Нээлттэй асуулт 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?

Бичвэр болон мат оролт

Нээлттэй асуулт 4

Could you determine if two functions are inverses if you were given only the first point for each function?

Бичвэр болон мат оролт

Нээлттэй асуулт 5

Does have an inverse function? What about if the domain was restricted?

Бичвэр болон мат оролт

Нээлттэй асуулт 6

What is an example of a function without an inverse?

Бичвэр болон мат оролт