Domain and Range from a Graph

Front

What is the DOMAIN of a function?

Back

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

Front

What is the RANGE of a function?

Back

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

Front

How do you determine the domain from a graph?

Back

Identify the x-values for which the graph has points. Exclude any x-values where the graph does not exist.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you determine the range from a graph?

Back

Identify the y-values that the graph reaches. Exclude any y-values that the graph does not touch.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does it mean if a function has a domain of x > -3?

Back

The function is defined for all x-values greater than -3.

Tags

CCSS.HSF.IF.A.1

Front

What does it mean if a function has a range of y ≤ 6?

Back

The function outputs values that are less than or equal to 6.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the domain of the function represented by the graph that starts at -3 and goes to 2 (not including 2)?

Back

-3 ≤ x < 2.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the range of the function represented by the graph that goes from -7 to 2 (including both)?

Back

-7 ≤ y ≤ 2.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

If a graph has no points for x < -3, what can you say about its domain?

Back

The domain does not include any x-values less than -3.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

If a graph reaches a maximum y-value of 6, what can you say about its range?

Back

The range includes all y-values less than or equal to 6.

Tags

CCSS.HSA.REI.D.12