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Inverses of Linear Functions

Compare two related graphs to explore how a function and its inverse correspond to one another.

Opgave 1

Putting It All Together

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

Opgave 2

What is the same and what is different about the two graphs?

Opgave 3

When you move the endpoint of one line, why does the endpoint on the other graph move? What determines the position of the other endpoint?

Opgave 4

If the speed someone is driving in miles per hour changes from 20 to 30, what happens to the time it takes them to drive a mile (the fraction of an hour per mile)?