Before You used special patterns to factor polynomials

* Before: You used special patterns to factor polynomials Now: ________________________________ Why? So you can determine attendance at a sports game

* * Turning * * The graph of every polynomial function of degree n, has at most _____ turning points. If a polynomial function has n distinct real zeros, then its graph has exactly ______ turning points. * * * Points: Correspond to _______________________________ Local Maximum: The ___________ of a turning point, if the point is higher than all nearby points. Local Minimum: The ___________ of a turning point, if the point is lower than all nearby points. Zero of the Function: The _________________

5. 9: Write Polynomial Functions and Models Before: You wrote linear and quadratic functions Now: ______________________________________________________ Why? So you can model launch speed

Finite Difference: When the x-values in a data set are equally spaced, the _____________________________________________________________ Properties of Finite Differences • If a polynomial function f(x) has degree n, then the nth-order differences of function values for equally-spaced x-values ___________________ • If the nth-order differences of equally spaced data are nonzero and constant, then the data can be represented by a polynomial function of ____________