Domain and Range Review

Front

What is the definition of DOMAIN in a function?

Back

The DOMAIN of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of RANGE in a function?

Back

The RANGE of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

Front

How do you determine the DOMAIN of a function from its graph?

Back

To determine the DOMAIN from a graph, identify the x-values that the graph covers. The DOMAIN includes all x-values for which there are corresponding y-values.

Front

How do you determine the RANGE of a function from its graph?

Back

To determine the RANGE from a graph, identify the y-values that the graph covers. The RANGE includes all y-values that correspond to the x-values in the DOMAIN.

Front

What does it mean if a function has a DOMAIN of all real numbers?

Back

It means that the function is defined for every possible value of x, with no restrictions.

Front

What does it mean if a function has a RANGE of all real numbers?

Back

It means that the function can produce every possible value of y, with no restrictions.

Front

What is the notation for expressing DOMAIN?

Back

The DOMAIN can be expressed using interval notation, such as (a, b) for open intervals or [a, b] for closed intervals.

Front

What is the notation for expressing RANGE?

Back

The RANGE can also be expressed using interval notation, similar to DOMAIN.

Front

Back

This means that the function is defined for all x-values from -4 to 2, including -4 and 2.

Front

Back

This means that the function can produce y-values from 0 to 4, including both 0 and 4.