1. Do Now

2. HW Quiz!
It’s on a half-sheet of paper. I’ll pass it out.

3. 14.4 Graphing Exponential Functions
Let’s look at these functions with Desmos and discuss what we notice.
Are there any rules or generalizations you could make about a or b?
Where are the y-intercepts?
What happens when 0 < b < 1?
What happens when a < 0?

4. Domain and Range
What is the domain for any exponential function y = ab^x?

5. Graphing Increasing Positive Exponential Functions
Graph each exponential function. After graphing, identify a and b, the y-intercept, and the end behavior of the graph.

6. Example

7. Deep Thinking
If a > 0 and b > 1, what is the end behavior of the graph?

8. Your Turn

9. Graphing Decreasing Positive Exponential Functions
Graph each exponential function. After graphing, identify a and b, the y-intercept, and the end behavior of the graph.
If a > 0 and 0 < b < 1, what is the end behavior of the graph?

10. Your Turn

11. Graphing Increasing Negative Exponential Functions
Graph each exponential function. After graphing, identify a and b, the y-intercept, and the end behavior of the graph.
If a < 0 and 0 < b < 1, what is the end behavior of the graph?

12. Your Turn

13. Last Question
Why is ƒ(x) = 3(-0.5) x not an exponential function?