# How do you determine the domain and range of a graph inequalities?

##### 1 Answer

To determine the domain is the same as to determine which numbers appear as the first number (the x-value) in an ordered pair that is part of the graph.

To determine the range is the same as to determine which numbers appear as the second number (the y-value) in an ordered pair that is part of the graph.

Here are some examples:

graph{y >= x^2+3 [-11.6, 13.72, 0.15, 12.81]}

Although it is not 100% certain from just the graph, this graph does get wider and wider. Every

The

If you've learned interval notation, you write:

# graph{x^2 + y^2/9 <= 1 [-5.35, 7.14, -3.105, 3.14]}

Domain (x-values) Go from

Range:

More challenging:

graph{x^2+y^2 < 9 [-5.35, 7.14, -3.105, 3.14]}

The dotted line is **not** included, so we do not include the points at

Domain:

Last one:

graph{x- y^2 < 6 [-9.87, 30.68, -9.96, 10.32]}

Domain: all real numbers

Range: all real numbers