IXL - Domain and range of linear functions: graphs (Algebra 1 practice)

This is the graph of a linear function.

What are the domain and the range of the function?

Domain: Range:

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question

This is the graph of a linear function.

What are the domain and the range of the function?

Domain: Range:

key idea

The graph of a function shows the set of

(

)

ordered pairs that satisfy the function.

The domain is the set of
x
-values
where the function is defined.
The range is the corresponding set of
y
-values
.

Some graphs of functions show endpoints with closed circles or open circles.

A closed circle indicates the
(
x
,
y
)
ordered pair satisfies the function.
An open circle indicates the
(
x
,
y
)
ordered pair does not satisfy the function.

solution

The graph of this linear function is a line segment with endpoints at

(

–

)

and

(

–

)

The open circle at
(
–
2
,
7
)
indicates this ordered pair does not satisfy the function.
The closed circle at
(
4
,
–
5
)
indicates this ordered pair satisfies the function.

The domain of this function includes all

-values

between -2 and 4. It does not include

–

but it does include

So, the domain of the function is

–

≤

The range of this function includes all

-values

between

–

and 7. It includes

–

but it does not include

So, the range of the function is

–

≤

Looking for more? Try these:

Lesson: Domain and range

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M.2Domain and range of relations

F.13Write compound inequalities from graphs

N.3Complete a table and graph a linear function

Lesson: Domain and range

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