Endbehaviors / Naming Polynomials

Linear Equation - y=mx+b

1 Degree

0 Turns

When M is positive - 

Raises to the Right, Falls to the Left.

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

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

When M is negative -

Raises to the Left, Falls to the Right.

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

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

Quadratic Equations - y=ax²+bx+c

2 Degree

1 Turn

(a+b)(c+d)

When A is positive - 

Raises Right, Raises Left

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

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

When A is negative -

Falls Left, Falls Right

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

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

Naming Polynomials

-Numbers of terms is always 1 less than degree

:Degree:

0- Constant 

1- Linear

2- Quadratic 

3- Cubic

4- Quartic

5- Quintic 

6 to ∞- nth Degree 

:Terms:

Monomial 

Binomial 

Trinomial 

Quadrinomial 

Polynomial