A table of values is a set of ordered pairs usually resulting from substituting numbers into an equation (relation). The equation determines the relationship between each pair of numbers in each ordered pair in the table of values.

Often the table of values is graphed, to see a visual representation of the determining equation.

Create a table of values for the equation y = 2x + 3, x N.

Graph the given equation.

To create a table of values, follow the steps below:

• Since the variable "y" is isolated in the equation, choose appropriate values for "x" and write them in the table
• Substitute each chosen value of "x" into the equation to determine the corresponding value of "y"
• Write the values of "y" in the location of the table associated with the currently chosen value of "x"

Create a table of values for the equation y = x² - 2x - 3, x R.

Graph the given equation.

The process for this example is the same as for the previous example.

One difference between the two examples is that the first example stated "x N", while this example states "x R".

"x N" means only natural numbers can be chosen for the variable "x". The consequence for graphing is that the locations are not joined by a straight or curved line.

"x R" means any real number can be chosen for the variable "x". The consequence for graphing is that the locations must be joined by a straight or curved line in order for the graph to be complete.

If no statement is given, it is assumed that "x R".