Relations and Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input has only one output.

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 if a relation is not a function?

Back

If a relation is not a function, it means that at least one input is associated with more than one output.

Front

Example of a function: (1, 2), (2, 3), (3, 4). Is this a function?

Back

Yes, this is a function because each input has exactly one output.

Front

Example of a relation that is not a function: (1, 2), (1, 3). Is this a function?

Back

No, this is not a function because the input '1' has two different outputs.

Front

What is a mapping diagram?

Back

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

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 in real life is a vending machine: each button (input) gives one specific item (output).