Identifying Functions

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 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

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

Back

A set of ordered pairs is a function if no two different ordered pairs have the same first element (x-value).

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 (x-value) is associated with more than one output (y-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

Give an example of a function using ordered pairs.

Back

Example: {(1, 2), (2, 3), (3, 4)} is a function because each x-value is unique.

Front

Give an example of a relation that is not a function using ordered pairs.

Back

Example: {(1, 2), (1, 3), (2, 4)} is not a function because the x-value 1 is associated with two different y-values.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a mapping diagram?

Back

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