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

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?

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

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.

Example

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

Your Turn

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?

Your Turn

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?

Your Turn

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