End Behaviors

The degree of an equation tells you how many times on the graph the line is going to turn. The number of turns the line has will be one less than the degree of the equation.
A monomial is a 0 degree constant.

A 1st degree equation is a linear equation and it is known as a binomial.

A 2nd degree equation is a quadratic equation and is known as a trinomial.

A 3rd degree equation is a cubic equation and is a quadrinomial.

A 4th degree equation is a quartic equation and is a polynomial.

A 5th degree equation is a quintic equation.

Domain-X values

Range- Y values 

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

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

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

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

Identifying Quadratic Functions

The standard form of a quadratic function is ax² + bx + cy² + dy + e= 0
A quadratic function is a circle when a=c.
A quadratic function is a parabola when either a or c equals 0.
A quadratic function is a hyperbola when a and c have different signs.
A quadratic function is an ellipse when a and c have the same sign, but a is not equal to c.

Example of a circle:

Example of a parabola:

Example of a hyperbola:

Example of an ellipse: