Domain and Range of Linear Functions

Front

What is the DOMAIN of a linear function?

Back

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

Front

What is the RANGE of a linear function?

Back

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

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. Look for any restrictions such as holes or vertical asymptotes.

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

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. Look for any restrictions such as horizontal asymptotes or gaps.

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Front

What does it mean if the domain is expressed as @@(- \infty, +\infty)@@?

Back

It means that the function is defined for all real numbers.

Front

Back

It means that the output values (y-values) of the function include all numbers from 1 to 5, including 1 and 5.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

Back

This indicates that the function is defined for all x-values starting from 0 and extending to positive infinity.

Front

What is the significance of a closed interval in domain or range?

Back

A closed interval, indicated by brackets [ ], means that the endpoints are included in the set.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the significance of an open interval in domain or range?

Back

An open interval, indicated by parentheses ( ), means that the endpoints are not included in the set.

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Front

If a graph shows a vertical line at x = -3, what can be inferred about the domain?

Back

The domain is restricted to x-values that do not include -3.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5