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Pre-Calculus
| Term | Definition |
|---|---|
| Exponential Function | a function whose value is a constant raised to the power of the argument, with the parent function of f(x)=a x b^x |
| Initial value | starting value when x=0. a |
| base | growth rate; can be a percentage or factor. b |
| 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 | e. Eulers number, equivalent to approximately 2.7182818 |
| Transformations | the movement or shift in shape of a function |
| Domain | The set of all possibilities input values of the function |
| Range | All output values of function |
| Interval of Continuity | a function defined at every point on 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 and 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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