Function or Not a Function

Front

What is a relation where every input matches with exactly one output?

Back

Function

Front

How can you determine if a set of ordered pairs is a function?

Back

If each x-value is paired with exactly one y-value.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

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

Back

Yes, because each x-value is unique.

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.

Front

What does it mean for a relation to not be a function?

Back

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

Front

If a graph has a point where x = 5 corresponds to y = 10 and y = 12, is it a function?

Back

No, it is not a function because the x-value 5 has two different y-values.

Front

What is an example of a function?

Back

f(x) = 2x + 3, where each input x gives a unique output.

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 outputs.

Front

Can a vertical line ever represent a function?

Back

No, a vertical line cannot represent a function as it would fail the vertical line test.