Function or Not?

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 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

Can a function have repeating y-values?

Back

Yes, a function can have repeating y-values as long as each x-value is unique.

Front

What does it mean if an x-value has two different y-values?

Back

If an x-value has two different y-values, the relation is not a function.

Front

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

Back

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

Front

Is the relation {(2, 3), (3, 4), (2, 5)} a function?

Back

No, because the x-value 2 has two different y-values (3 and 5).

Front

What is an example of a function?

Back

An example of a function is the relation {(1, 2), (2, 3), (3, 4)} where each x-value is unique.

Front

What is a non-function?

Back

A non-function is a relation where at least one x-value is paired with more than one y-value.

Front

How can you tell if a graph is a function?

Back

You can tell if a graph is a function by using the vertical line test.

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value.