Domain & Range

Front

What is the DOMAIN of a function?

Back

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

Front

What is the RANGE of a function?

Back

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

Front

How do you determine the domain of a graph?

Back

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

Front

What does it mean if a function has a domain of -4 ≤ x ≤ 3?

Back

The function is defined for all x-values from -4 to 3, inclusive.

Front

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

Back

The function can produce any y-value, with no restrictions.

Front

If a graph has a domain of -1 < x < 4, what does this indicate?

Back

The function is defined for x-values greater than -1 and less than 4, but not including -1 and 4.

Front

What is the relationship between domain and range in a function?

Back

The domain consists of input values (x-values), while the range consists of output values (y-values) derived from those inputs.

Front

How can you express the domain of a function using interval notation?

Back

Use brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Front

What is an example of a function with a restricted domain?

Back

Front

Back

The domain is all real numbers except x = 0.