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Voc Math 3
| Term | Definition |
|---|---|
| Exponential function | a function whose value is a constant raised to the power f(x)=axb^x |
| Initial value, a | starting value when x=0 |
| base, b | growth rate; can be a percentage or factor |
| Exponential Growth | Growth whose rate becomes ever more rapid in proportion to the growth total number or size when b>1 |
| growth factor | b |
| growth rate, b-1 | used with percentage |
| Exponential Decay | Growth whose rate becomes ever more rapid in proportion to the growth total number or size |
| decay factor | b |
| decay rate, 1-b | used with percentage |
| Natural Base | Euler's number, equivalent to approximately 2.7182818 |
| Transformations | The movement or shift in shape of a function |
| Domain | The set of all possible input values for a function |
| Range | All the outputs values of a function |
| Interval of Continuity | A function defined at every point on the interval |
| Interval of Increasing | As the input increase, the outputs increase on the interval. |
| interval of Decreasing | as the inputs increase, the outputs decrease on the interval |
| Horizontal Asymptote | a horizontal line that a function approaches but never touches; has the equation y= |
| Vertical Asymptote | a vertical line that a function approaches but never touches; has the equation x= |
| End Behavior | The value a function approaches as x approaches positive or negative infinity |
| Limited Notation | The use of symbols to represent the value a function approaches. |
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