Domain and Range of Graphs

Front

What is the domain of a graph?

Back

The set of all possible x-values (inputs) for which the function is defined.

Front

What is the range of a graph?

Back

The set of all possible y-values (outputs) that a function can produce.

Front

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

Back

Identify the x-values for which the graph exists; look for any restrictions such as holes or vertical asymptotes.

Front

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

Back

Identify the y-values that the graph reaches; look for any horizontal asymptotes or gaps.

Front

What does it mean if the domain is 'x ≥ 1'?

Back

The function is defined for all x-values starting from 1 and extending to positive infinity.

Front

What does it mean if the range is 'y ≥ 1'?

Back

The function produces y-values starting from 1 and extending to positive infinity.

Front

What is a proper domain?

Back

The domain that includes only the values for which the function is defined, excluding any restrictions.

Front

What is a proper range?

Back

The range that includes only the values that the function can actually output.

Front

If a graph has a domain of '1 ≤ x ≤ 5', what does this indicate?

Back

The function is defined only for x-values between 1 and 5, inclusive.

Front

If a graph has a range of 'y ≥ 0', what does this indicate?

Back

The function outputs values starting from 0 and extending to positive infinity.