Determine if Function

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input 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 for a set of values to be a function?

Back

A set of values is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

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

Back

Yes, it is a function because each input has a unique output.

Front

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

Back

No, it is not a function because the input '1' has two different outputs (2 and 3).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which may or may not be a function.

Front

How can you tell if a table of values represents a function?

Back

Check if any input value (first element) is repeated with different output values (second elements). If so, it is not a function.

Front

What is an example of a function in real life?

Back

A vending machine is a function: each button (input) corresponds to one specific snack (output).

Front

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

Back

It means that there are at least two points on the graph where the same x-value corresponds to different y-values.