Exponential Growth and Decay
This shows the graph of the function f(x) = a bx. Adjust the sliders to change the values of a and b.
1. What happens as a gets larger? As a gets smaller?
2. What happens when b>1?
What can you say about the behavior of the graph of exponential growth functions as x tends towards negative infinity? , positive infinity?
3. What happens when 0 < b < 1?
What can you say about the behavior of the graph of exponential growth functions as x tends towards negative infinity? , positive infinity?
4. Which factor has a larger influence on the shape of the graph?