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Unit 1
Important Vocab and Ideas
| Term | Definition |
|---|---|
| real zero | x intercept and the solution to a polynomial |
| non real zero | imaginary zero (doesn't touch the x axis) |
| factor | |
| concave up | AROC is increasing (smiley face) |
| concave down | AROC is decreasing (frowny face) |
| conjigate | to change the sign between its two terms to find its conjugate |
| absolute maximun | Highest point of a function |
| absolute minimum | lowest point of a function |
| global maximum | highest point of a function |
| global minimum | lowest point of a function |
| local maximum | the highest point on a function's graph within a specific interval |
| local minimum | the lowest point on a function's graph within a specific interval |
| relative maximum | the highest point on a function's graph within a specific interval |
| relative minimum | the lowest point on a function's graph within a specific interval |
| odd function | rotational symmetry about the origin |
| even function | symmetry about the y axis |
| odd function test | -f(x)=f(-x) |
| even function test | f(x)=f(-x) |
| leading coefficient | The coefficient of the term with the highest degree. |
| Rational Function | A function that is the ratio of two polynomial functions |
| Polynomial Function | A function consisting of a sum of terms, where each term includes a variable raised to a non-negative integer power |
| Degree | The highest exponent of the variable in the polynomial |
| Instantaneous Rate of Change | The rate of change of a function at a single point |
| Average Rate of Change | The ratio of the change in output values to the change in input values over an interval |
| Decreasing Function | On a specific interval, the output values decrease as the input values increase. |
| Increasing Function | On a specific interval, the output values increase as the input values increase. |