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 if an x-value repeats in a set of ordered pairs?

Back

If an x-value repeats, the relation is not a function because it would have multiple outputs for that input.

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 graph does not represent a function.

Front

Is the set {(1,2), (2,3), (3,4)} a function?

Back

Yes, because each x-value has a unique y-value.

Front

Is the set {(1,2), (1,3), (2,4)} a function?

Back

No, because the x-value 1 is paired with two different y-values (2 and 3).

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

If a graph has a curve, can it still be a function?

Back

Yes, as long as it passes the vertical line test.

Front

What is an example of a function in real life?

Back

A function can be seen in a vending machine where each button (input) corresponds to one specific snack (output).

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can show how two quantities are related.