Exponential Graph
Activity
Activity
In the applet below, use the slider for 'a' and 'b' and observe what happens to the graph.
In the applet below, use the slider for 'a' and 'b' and observe what happens to the graph.
What do you notice about the y-intercept?
What do you notice about the y-intercept?
The y-intercept is (0, a).
What happens to the graph when b > 1 and when 0 < b < 1?
What happens to the graph when b > 1 and when 0 < b < 1?
Suggested Answer: When b > 1, the graph tends to infinity as x increase but when 0 < b < 1, the graph tends to the asymptote at the x-axis.
What happens to the graph when a > 0 and when a < 0?
What happens to the graph when a > 0 and when a < 0?
Suggested Answer: When a > 0, the graph lies above the x-axis but when a < 0, the graph lies below the x-axis.