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Exponential Functions

Exponential functions have
horizontal asymptotes. These are lines that the graphs approach, getting closer and closer, but they do not touch nor cross these lines.
Several possible graphs are shown:
| f1: y = 2x |
parent style function
horizontal asymptote at y = 0 |
| f2: y = 2x - 4 |
translated function 4 units down
horizontal asymptote at y = -4 |
| f3: y = -3•2x |
stretch function,
negated function
reflected over x-axis
horizontal asymptote at y = 0 |
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