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Unit 3 Vocab Pre-Cal
| Term | Defenition |
|---|---|
| Exponential Function | A function whose value is a constant raised to the power of the argument, with the parent function f(x)=a x b raised by x |
| Initial Value | a: starting value when x=0. |
| Base | growth rate; can be a percentage or factor |
| Exponential Growth | Growth whose rate becomes ever more rapid in proportion to the growing total number or size; occurs when b>1 |
| Growth Factor | b |
| Growth Rate | b-1:used with percentages |
| Exponential Decay | Growth whose rate becomes ever more rapid in proportion to the growing total number or size; occurs when b>1 |
| Decay Factor | b |
| Decay Rate | 1-b:used with percentages |
| 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 the function |
| Range | All the output values of a function |
| Interval of Continuity | A function defined at every point of the interval |
| Interval of Increasing | As the inputs 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 |
| Limit Notation | The use of symbols to represent the value a function approaches |
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