Function or Not a Function

Front

What is a function?

Back

A relation where every input (x-value) matches with exactly one output (y-value).

Front

Is the relation (11, 2) and (11, 3) a function?

Back

No, because the x-value 11 has two y-values (2 and 3) paired with it.

Front

What is the definition of a relation in mathematics?

Back

A set of ordered pairs, where each pair consists of an input and an output.

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.

Front

What is the vertical line test?

Back

A method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

Is the set of ordered pairs {(1, 2), (2, 3), (3, 4)} a function?

Back

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

Front

What does it mean if a relation is not a function?

Back

It means that at least one x-value is paired with more than one y-value.

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the x-value 1 has two y-values.

Front

What is the difference between a function and a linear function?

Back

A function can be any relation with one output for each input, while a linear function specifically represents a straight line on a graph.