End Behaviors/ Naming Polynomials

Linear Equations:

y= mx+b

1 degree

0 turns

Domain - x values
Range - y values referred to as f(x)

When m is Positive:

domain → +∞, range → +∞ (rises on the right)

domain → -∞, range → -∞ (falls on the left)

When m is Negative

domain → -∞, range → +∞ (rises on the left)

domain → +∞, range → -∞ (falls on the right)

Quadratic Equations (parabolic equation)

y=ax²

2 degree

1 turn

(a+b)(c+d)

When a is Positive

domain → +∞, range → +∞ (rises on the right)

domain → -∞, range → -∞ (falls on the left)

When a is Negative

domain → +∞, range → -∞ (falls on the right)

domain → -∞, range → -∞ (falls on the left)

Naming Polynomials:

--Number of turns is always 1 less than the degree.

Degree:

0- Constant

1- Linear

2- Quadratic

3- Cubic

4- Quartic

5- Quintic

6 to ∞- nth Degree

Terms:

Monomial - one term

Binomial - two terms

Trinomial - three terms

Quadrinomial - four terms

Polynomial - two or more terms