Domain and Range of Graphs

Front

What is the definition of 'domain' in relation to graphs?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the definition of 'range' in relation to graphs?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you determine the domain of a graph?

Back

To determine the domain, identify the x-values for which the graph exists and is defined.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you determine the range of a graph?

Back

To determine the range, identify the y-values that the graph can take based on its shape and limits.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the domain of the function f(x) = √(x-1)?

Back

The domain is x ≥ 1.

Front

What is the range of the function f(x) = x^2?

Back

The range is y ≥ 0.

Front

If a graph has a horizontal line at y = 3, what can you say about its range?

Back

The range is y = 3.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does it mean if a graph has 'all real numbers' as its domain?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does it mean if a graph has 'all real numbers' as its range?

Back

It means that the function can produce every possible y-value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How can you find the range of a linear function?

Back

For a linear function, the range is all real numbers unless there are restrictions on y.