Functions(Domain and Range)

Front

What is a function?

Back

A function is a relation where each input (domain) has exactly one output (range).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function using a table?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

Given the ordered pairs {(1,2), (2,3), (1,4)}, is this a function?

Back

No, because the input '1' is associated with two outputs (2 and 4).

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.

Front

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

Back

List all the second elements (y-values) of the ordered pairs and identify the unique values.

Front

What is a mapping diagram?

Back

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