1. Exponential Functions
Year 12 - General
Exponential Functions
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2. Exponential Functions (1/4)
The independent variable has a power of x.
The dependent variable has a power of 1.
y = b ax 1
When graphed they appear as a exponential graph. 2

3. Exponential Function y = 2x (2/4)1 2 3 4 y 1 2 4 8 16 y 20 16 12 8 4 1 2 x 3
y=2x 3

4. Exponential Function y = -2x (3/4)1 2 3 4 y -1 -2 -4 -8
-16 y 1 2 3 4 x -4 -8
-12
y=-2x
-16
-20 4

5. Exponential Function y = 2-x (4/4)1 2 3 4 y 1 2 1 4 1 8 1 16 1 y
1.0
0.8
0.6
0.4
y=2-x
0.2 1 2 3 4 x 5