Naming Polynomials and End Behaviors

Linear Equations:
y=mx+b (1 degree, 0 turns)
m: slope
b: y-intercept

Domain= x-values
Range= y-values

When m is positive: falls to the left, rises to the right

domain → +∞, range → +∞

domain → -∞, range → -∞

When m is negative: rises to the left, falls to the right

domain → -∞, range → +∞

domain → +∞, range → -∞

Quadratic Equations:
 --Parabolic Equations
y=ax² (2 degree, 1 turn)

(a+b)(c+d)

When a is positive: rises to the left, rises to the right

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

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

When a is negative: falls to the left, falls to the right

domain → +∞, range → -∞ 

domain → -∞, range → -∞

***Number of turns is always one less than the degree!

Degree:

0- Constant 

1- Linear

2- Quadratic 

3- Cubic

4- Quartic

5- Quintic 

6 to ∞- nth Degree 

Terms:

Monomial 

Binomial 

Trinomial 

Quadrinomial 

Polynomial