Polynomial Functions of Higher Degree

# Polynomial Functions of Higher Degree - 3.2 Polynomial...

This preview shows pages 1–2. Sign up to view the full content.

3.2: Polynomial Functions of Higher Degree So far, we have only graphed two kinds of polynomial functions this semester: lines and parabolas. In this section we will graph polynomials of degree 3 or higher. All polynomial functions have graphs that are smooth continuous curves . In this class, when we say a graph is smooth, we mean that it has no sharp corners. And a graph that is continuous has no holes or breaks. For example, the following graphs are not polynomial functions. (Continuous, but not smooth) (Not continuous) x y x y The General Form of a Polynomial a n x n + a n -1 x n -1 + . . . + a 1 x + a 0 . ˚ a n x n is the leading term , a n is the leading coefficient, and the degree of the polynomial is n Example: P ( x ) = -x 3 + 6 x - 8 the leading coefficient is -1, the degree of the polynomial is 3 F AR- L EFT AND F AR- R IGHT B EHAVIOR n is even n is odd a n > 0 up to the far-left up to the far-right down to the far-left up to the far-right a n < 0 down to the far-left down to the far-right up to the far-left down to the far-right

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 5

Polynomial Functions of Higher Degree - 3.2 Polynomial...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online