12/9 Identifying Functions

Front

What is a function?

Back

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

Front

What does it mean for a relation to NOT be a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

How can you determine if a set of ordered pairs represents a function?

Back

Check if any x-value appears more than once; if it does, it is not a function.

Front

What is the vertical line test?

Back

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 is an example of a function using ordered pairs?

Back

(1, 2), (2, 3), (3, 4) is a function because each x-value is unique.

Front

What is an example of a relation that is NOT a function using ordered pairs?

Back

(1, 2), (1, 3), (2, 4) is not a function because the x-value 1 has two different y-values.

Front

What does a function mapping look like?

Back

A function mapping shows how each input is paired with exactly one output, e.g., {1 -> 2, 2 -> 3, 3 -> 4}.

Front

How can you tell if a table represents a function?

Back

If no x-value in the table is repeated, then it represents a function.

Front

What is the definition of a domain in a function?

Back

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

Front

What is the definition of a range in a function?

Back

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