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

How can 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 for x-values to repeat in a relation?

Back

If x-values repeat, it means that the same input is associated with multiple outputs, which disqualifies the relation from being a function.

Front

Give 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

Give an example of a relation that is not a function using ordered pairs.

Back

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

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the relation is not a function.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each x-value is connected to its corresponding y-value.

Front

What is the difference between a function and a non-function?

Back

A function has unique outputs for each input, while a non-function has at least one input with multiple outputs.

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 in real life?

Back

A vending machine is a function; each button (input) gives one specific snack (output).