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 result from using the function.

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all possible input values (x-values) that can be used in the relation.

Front

What defines a function?

Back

A function is defined as a relation where each input (x-value) is paired with exactly one output (y-value).

Front

Is the relation {(1, 2), (1, 3)} a function?

Back

No, because the input 1 is paired with two different outputs (2 and 3).

Front

Is the relation {(2, 4), (3, 4), (4, 5)} a function?

Back

Yes, because each input has exactly one output.

Front

What is an example of a range?

Back

For the function f(x) = x^2, the range is {y | y ≥ 0}.

Front

What is an example of a domain?

Back

For the function f(x) = 1/x, the domain is {x | x ≠ 0}.

Front

How do you find the range from a graph?

Back

The range can be found by identifying the lowest and highest points on the y-axis of the graph.

Front

How do you find the domain from a graph?

Back

The domain can be found by identifying the leftmost and rightmost points on the x-axis of the graph.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the domain and range of a function.