Identify Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph represents a function. If any vertical line crosses the graph more than once, it is not a function.

Front

What does it mean for a set of ordered pairs to be a function?

Back

A set of ordered pairs is a function if no two different pairs have the same first element.

Front

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

Back

Yes, it is a function because each input (first element) is unique.

Front

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

Back

No, it is not a function because the input '1' is associated with two different outputs.

Front

What is an example of a function in real life?

Back

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

Front

What is a mapping diagram?

Back

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

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

Front

Can a vertical line intersect a function's graph more than once?

Back

No, if a vertical line intersects a graph more than once, the graph does not represent a function.

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.