Function or Non 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 a non-function?

Back

A non-function is a relation where at least one input is related to more than one output.

Front

What is an ordered pair?

Back

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

Front

What does it mean for a relation to be a function?

Back

For a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).

Front

How can you determine if a set of ordered pairs represents a function?

Back

You can determine if a set of ordered pairs represents a function by checking if any x-value is repeated with different y-values.

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

Example of a function: (2, 3), (4, 5), (6, 7). Is this a function?

Back

Yes, this is a function because each x-value is unique.

Front

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

Back

No, this is not a function because the x-value 1 corresponds to two different y-values.

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 domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.