Domain and Range

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does it mean if a graph fails the vertical line test?

Back

If a graph fails the vertical line test, it means that there is at least one x-value that corresponds to multiple y-values, indicating that it is not a function.

Front

What is the domain of the function represented by the graph with endpoints at x = -5 and x = 4?

Back

Front

What is the range of the function represented by the graph with endpoints at y = -5 and y = -2?

Back

Front

Back

This indicates that the function is defined for all x-values from -3 to 4, inclusive.

Front

What is the significance of endpoints in domain and range?

Back

Endpoints indicate whether the values at those points are included (closed interval) or not included (open interval) in the domain or range.

Front

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

Back

It means that the function is defined for every possible x-value.