Question

Discussion Topic

Answer 1

Answer:

A polynomial, y, is a function that has only positive integer powers of the independent variable, x, which may be 1 for linear function, 2, for quadratic function, 3 for cubic function, 4, for quartic function etc.

A situation in which a polynomial model that changes direction multiple times is the approximation of the change in height (movement) of a Ferris wheel

The height changes multiple times during a ride and it can be best represented by a sine function, which can be approximated using Taylor or MacLaurin's series as follows;

$sin (x) \approx x - \dfrac{x^3}{3!} + \dfrac{x^5}{5!} - \dfrac{x^7}{7!} + \cdot \cdot \cdot$

Step-by-step explanation: