Function/Not a Function

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, typically represented as (x, y).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated in the ordered pairs.

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 x-value is associated with more than one y-value.

Front

Example of a function: {(1, 2), (2, 3), (3, 4)}. Is it a function?

Back

Yes, it is a function because no x-values repeat.

Front

Example of a relation: {(1, 2), (1, 3), (2, 4)}. Is it a function?

Back

No, it is not a function because the x-value '1' is associated with two different y-values (2 and 3).

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 is an ordered pair?

Back

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

Front

If a function has the ordered pairs {(2, 5), (3, 6), (2, 7)}, is it a function?

Back

No, it is not a function because the x-value '2' is associated with two different y-values (5 and 7).

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.