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Math
| 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 b |
| Exponential growth | Growth whose rate becomes ever more rapid in proportion to the growing total number or size; occurs when b>1. |
| 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 | Euler's number, equivalent to approximately 2,7182818 |
| Transformation | 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 on the interval. |
| Interval of increasing | as the inputs increase, the output 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. |
| Vertical Stretch | If a is greater than 1 |
| Vertical Shrink | If a is between 0 and 1 |
| Horizontal stretch | If b is between 0 and 1 |
| Horizontal Shrink | If b is greater than 1 |
| Horizontal transition left | Adding a constant |
| Horizontal transition right | Subtracting a constant |