Domain and Range from a Graph

Front

What is the definition of Domain in a graph?

Back

The domain of a function is the complete set of possible values of the independent variable (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 a graph?

Back

The range of a function is the complete set of possible values of the dependent variable (y-values) that the function can output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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. This includes all x-values for which there is a corresponding y-value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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. This includes all y-values that correspond to the x-values in the domain.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does the notation (-∞, ∞) represent?

Back

The notation (-∞, ∞) represents that the domain includes all real numbers from negative infinity to positive infinity.

Tags

CCSS.HSA.REI.D.12

Front

What does the notation [-2, 3] represent?

Back

The notation [-2, 3] indicates that the domain includes all real numbers from -2 to 3, including the endpoints -2 and 3.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the significance of closed intervals in domain and range?

Back

Closed intervals, denoted by brackets [ ], indicate that the endpoints are included in the set of values.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the significance of open intervals in domain and range?

Back

Open intervals, denoted by parentheses ( ), indicate that the endpoints are not included in the set of values.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

If a graph has a horizontal line at y = 2, what can be said about its range?

Back

The range includes the value y = 2, and may also include other y-values depending on the graph's behavior.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How can vertical asymptotes affect the domain of a function?

Back

Vertical asymptotes indicate values of x where the function is undefined, thus those x-values are excluded from the domain.

Tags

CCSS.HSF-IF.C.7D