Identifying Functions

Front

What is a function?

Back

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

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if no x-value is paired with more than one y-value.

Front

What does it mean if x-values repeat in a relation?

Back

If x-values repeat, the relation is not a function because it indicates multiple y-values for the same x-value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one 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

Which of the following is a function: {(1,2), (2,3), (3,4)} or {(1,2), (1,3)}?

Back

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

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can represent a function or not.

Front

If a relation has the pairs (2,3), (2,4), (3,5), is it a function?

Back

No, it is not a function because the x-value 2 is paired with two different y-values (3 and 4).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.