1. Exponential Functionsy x
Exponential Growth
Exponential Decay

2. Graph by creating a table of valuesx y -4 -2 1 2 3 y x
0.0625
0.25 1 2 4 8

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

4. 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

5. Exponential Growth
For the exponential function to be exponential growth, “g > 1”.
There is a horizontal asymptote at y = k.
Domain: x can be all real numbers.
Range:
If the curve goes upward, then the range is y > k.
If the curve goes downward, then the range is y < k.

6. 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.

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

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

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

10. Graph the Curve y x

11. Graph the Curve y x