Domain and Range

Front

What is the range of a function?

Back

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

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

How do you determine the range from a set of ordered pairs?

Back

To determine the range from a set of ordered pairs, identify all the unique y-values from the pairs.

Front

How do you determine the domain from a set of ordered pairs?

Back

To determine the domain from a set of ordered pairs, identify all the unique x-values from the pairs.

Front

What is the difference between domain and range?

Back

The domain refers to the set of input values (x-values), while the range refers to the set of output values (y-values) of a function.

Front

Given a function g(x)=x-1, what is the range if the domain is {0, 1, 2}?

Back

The range would be {-1, 0, 1}.

Front

What is the notation used to represent the domain of a function?

Back

The domain is often represented using set notation, such as D = {x | condition}.

Front

What is the notation used to represent the range of a function?

Back

The range is often represented using set notation, such as R = {y | condition}.

Front

If a function has a domain of {0, 1, 2} and a range of {1, 2, 3}, what can you say about the function?

Back

The function maps the x-values in the domain to the y-values in the range, but not all y-values in the range may be used.

Front

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

Back

An example is f(x) = 1/x, which has a domain of all real numbers except x = 0.