Domain & Range: Find It on a Graph

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.
  • #1
teejay
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How do you find the domain and range of a graph?
 
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  • #2
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.
 

Related to Domain & Range: Find It on a Graph

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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