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.

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.

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.

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.

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.

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.