Exploring Exponential Growth and Decay

Part 1

Below is the graph of the function f(x) = a bx. Adjust the sliders to change the values of a and b. What happens as a gets larger? As a gets smaller? As a is less than 0?

Part 2

What happens when b>1? What can you say about the behavior of the graph of exponential growth functions as x tends towards ∞? -∞?

Part 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 ∞? -∞?

Part 4:

Part 4:

Match each function with the given graph.

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)