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, not including -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 ends at 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?

Back

-7 ≤ y ≤ 2.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

If a graph has a domain of -3 ≤ x ≤ 3, what does this indicate?

Back

The function is defined for x-values from -3 to 3, including both endpoints.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is an example of a function with a restricted domain?

Back

f(x) = √(x + 3) has a domain of x ≥ -3.

Tags

CCSS.HSF-BF.B.4D