End Behaviors

In an equation, the degree is the highest power. For example, in the equation 5x^8 + 2x^4 - 3x, the degree would be 8. the degree tells the type of equation and the number of turns it's graph has, which is always one number less than the degree.

Degree 0- constant

Degree 1- linear.

Degree 2- quadratic.

Degree 3 – cubic.

Degree 4 – quadratic.

Degree 5- quintic.

Degree 6 –sextic

Degree 7 and on-#tic

Linear Equations

When m is positve: 

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 (Parabolas)

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)