Exploring Exponential Growth and Decay
Part 1
Below is the graph of the function [b][i]f(x) = a b[sup]x[/sup][/i][/b]. Adjust the sliders to change the values of [b][i]a[/i][/b] and [i][b]b[/b][/i]. [br]What happens as [b][i]a[/i][/b] gets larger? As [b][i]a[/i][/b] gets smaller? As a is less than 0?
Part 2
What happens when [b][i]b[/i][/b]>1? [br]What can you say about the behavior of the graph of exponential growth functions as [b][i]x[/i][/b] tends towards ∞? -∞?
Part 3
What happens when[i][b] 0 < b < 1[/b][/i]? [br]What can you say about the behavior of the graph of exponential growth functions as [b][i]x[/i][/b] tends towards ∞? -∞?
Part 4:
Match each function with the given graph.