# Domain & Range: Find It on a Graph

• MHB
• teejay
In summary, domain refers to the set of input or x-values of a function or relation, while range refers to the set of output or y-values. To find the domain, look at the x-values on the graph, and to find the range, look at the y-values. The domain and range of a graph can be infinite if the graph continues indefinitely. They can be represented in various ways, such as using a table or interval notation. Identifying the domain and range is important because it helps us understand the behavior of a function or relation and determine any restrictions or limitations of the graph.
teejay
How do you find the domain and range of a graph?

teejay said:
How do you find the domain and range of a graph?

A specific example, attached to your best efforts, is probably the best way to proceed.

In general, a good place to start is to assume All Real Numbers and see what you can rule out.

## 1. What is the domain and range of a graph?

Domain refers to the set of input or x-values of a function or relation, while range refers to the set of output or y-values. In simpler terms, the domain is all the possible values of the independent variable, while the range is all the possible values of the dependent variable.

## 2. How do I find the domain and range of a graph?

To find the domain of a graph, look at the x-values shown on the graph. The domain will be all the possible values of x. To find the range, look at the y-values shown on the graph. The range will be all the possible values of y.

## 3. Can the domain and range of a graph be infinite?

Yes, the domain and range of a graph can be infinite if the graph continues indefinitely in either the x or y direction. For example, a straight line with no endpoints has an infinite domain and range.

## 4. How can I represent the domain and range of a graph?

The domain and range can be represented in various ways, such as using a table, a set of ordered pairs, or a mapping diagram. You can also write the domain and range using interval notation, where square brackets indicate inclusive values and parentheses indicate exclusive values.

## 5. Why is it important to identify the domain and range of a graph?

Identifying the domain and range of a graph is important because it helps us understand the behavior of a function or relation. It also allows us to determine the maximum and minimum values of a function and helps us identify any restrictions or limitations of the graph.

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