Determining Domain and Range from a Graph

Front

What is the domain of a graph?

Back

The domain of a graph is the set of all possible x-values (inputs) for which the function is defined.

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible y-values (outputs) that the function can produce.

Front

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the y-values that the graph covers.

Front

What does it mean if a graph has a domain of all real numbers?

Back

It means that the function is defined for every possible x-value.

Front

What does it mean if a graph has a restricted range?

Back

It means that the function only produces certain y-values, not all possible values.

Front

If a graph shows a line segment from (-7, -3) to (5, 1), what is the domain?

Back

The domain is -7 ≤ x < 5.

Front

If a graph shows a line segment from (1, 1) to (1, 5), what is the range?

Back

The range is 1 ≤ y ≤ 5.

Front

What is the domain of a vertical line?

Back

The domain of a vertical line is a single x-value, meaning it is undefined for all other x-values.

Front

What is the range of a horizontal line?

Back

The range of a horizontal line is a single y-value, meaning it is undefined for all other y-values.