Graphs of functions

The coordinate plane or Cartesian plane

Usually, one line is horizontal with positive direction to the right and is called the X-axis

X-axis

Line is vertical with positive direction upward and is called the Y-axis

Y-axis

The point of intersection of the x-axis and the y-axis is the origin

Origin

The two axes divide the plane into four quadrants

Quadrants

(a,b)

Ordered pair

Equation in two variables

The graph of an equation

Graphing equations by plotting points

The graph of a function

Linear function

Constant function

Graphing functions with a graphing calculator

The vertical line test

Some functions and their graphs

Domain and range from a graph

Solving equations and inequalities graphically

Definition of increasing and decreasing functions

Local maxima and minima of a function