Function or Not a Function

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the definition of 'not a function'?

Back

A relation is not a function if at least one input is related to more than one output.

Front

Which of the following is a characteristic of a function? (10, 10), (2, 4), (6, 1), (-2, 0)

Back

A function must have unique outputs for each input. The pair (-2, 0) does not prevent it from being a function.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

If a relation has the ordered pairs (1, 2), (1, 3), (2, 4), is it a function?

Back

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

Front

What does the term 'ordered pair' mean?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function in real life?

Back

An example of a function is a vending machine: each button (input) corresponds to 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 its output.