Exponential Functions and Fractal Trees
Investigate exponential functions by adjusting parameters and observing changes in the graph. Connect equations and visual growth patterns.
Task 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Task 2
The function models the growth of tree branches. What does 3 represent in this function? What does 4 represent?
Task 3
What else could you model with a function like ?
Task 4
Compare and describe the growth of exponential functions and .