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 is the definition of 'not 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 is repeated with different y-values. If so, it is not a function.

Front

What is a mapping diagram?

Back

A visual representation that shows how each input is paired with an output. It helps to identify functions.

Front

What does the vertical line test indicate?

Back

If a vertical line intersects a graph at more than one point, the relation is not a function.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one y-value.

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each x-value has one unique y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3), (2, 4)} is not a function because the x-value 1 is paired with two different y-values.

Front

What is the importance of functions in mathematics?

Back

Functions are fundamental in mathematics as they describe relationships between quantities and are used in various applications.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs have the same output.