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Exponential Functions and Fractal Trees

Investigate exponential functions by adjusting parameters and observing changes in the graph. Connect equations and visual growth patterns.

Opgave 1

Putting It All Together

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

Opgave 2

The function models the growth of tree branches. What does 3 represent in this function? What does 4 represent?

Opgave 3

What else could you model with a function like ?

Opgave 4

Compare and describe the growth of exponential functions and .