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 relation is a function using ordered pairs?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What does it mean if an x-value is paired with two different y-values?

Back

It means the relation is not a function.

Front

What is the vertical line test?

Back

If a vertical line intersects a graph at more than one point, the relation is not a function.

Front

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

Yes, because each x-value is paired with only one y-value.

Front

Is the relation {(1,2), (1,3), (2,4)} a function?

Back

No, because the x-value 1 is paired with two different y-values (2 and 3).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each x-value connects to a y-value.

Front

If a table has the following pairs: (1,2), (2,3), (1,4), does it represent a function?

Back

No, because the x-value 1 is paired with two different y-values (2 and 4).

Front

Which of the following sets is not a function: {(2,3), (3,5), (4,9)} or {(2,3), (2,5), (4,9)}?

Back

{(2,3), (2,5), (4,9)} is not a function because the x-value 2 is repeated.

Front

What is the definition of a relation?

Back

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