Domain and Range

Front

What is the range of a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What does it mean for a graph to pass the vertical line test?

Back

A graph passes the vertical line test if no vertical line intersects the graph at more than one point, indicating that it represents a function.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an x-value and a corresponding y-value.

Front

How do you determine the domain from a graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying all the y-values that the graph covers.

Front

What is the difference between domain and range?

Back

Domain refers to the x-values, while range refers to the y-values of a function.

Front

What is an example of a function that does not have a range of all real numbers?

Back

The function f(x) = x^2 has a range of y ≥ 0.

Front

What is the notation for domain?

Back

The domain is often expressed in interval notation, such as [-4, 3].

Front

What is the notation for range?

Back

The range is often expressed in interval notation, such as [1, 5].