1. Exponential Functions Exponential Growth Exponential Decay y x

2. Exponential Function b represents the “beginning value” b is also the y-intercept g represents the growth rate – As g increases, the exponential curve gets steeper. – As g decreases, the exponential curve flattens

3. Exponential Growth For the exponential function to be exponential growth, “g > 1”. There is a horizontal asymptote at y = k. Domain: is all real numbers. Range: – If b > 0, then the range is y > k. – If b < 0, then the range is y < k.

4. Exponential Decay For the exponential function to be exponential decay, “g < 1”. There is a horizontal asymptote at y = k. Domain: is all real numbers. Range: – If b > 0, then the range is y > k. – If b < 0, then the range is y < k.

5. Graph by creating a table of values y x xy -4 -2 0 1 2 3 0.0625 0.25 1 2 4 8

6. Graph by creating a table of values. y x xy -2 0 2 4 6 4 2 1 0.25 0.0625 0.0156

7. Graph by creating a table of values. xy -2 0 1 2 3 y x -0.25 -0.5 -2 -4 -8

8. Graph by creating a table of values. xy -3 -2 0 1 2 y x -8 -4 -2 -0.5 -0.25

9. General Graph of Exponential Growth y x h shifts the curve Right/Left k shifts the curve Up/Down

10. Graph the Curve y x

11. y x