Is it a Function? Review for Flashcard

Front

What is the vertical line test?

Back

A method used to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

What does it mean for a relation to be a function?

Back

A relation in which each input (x-value) is paired with exactly one output (y-value).

Front

If a relation has the x-value 2 paired with two different y-values, is it a function?

Back

No, because a function cannot have the same input with multiple outputs.

Front

What is an example of a function?

Back

A relation where each x-value has one unique y-value, like (1, 2), (2, 3), (3, 4).

Front

What is an example of a non-function?

Back

A relation like (1, 2), (1, 3), (2, 4) where the x-value 1 has two different y-values.

Front

How can you tell if a table represents a function?

Back

Check if any x-values are repeated; if they are, it is not a function.

Front

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

Back

It means that the graph represents a function because no vertical line intersects it at more than one point.

Front

What is a mapping in mathematics?

Back

A way to show how each input is paired with an output, which can help determine if it's a function.

Front

What is a relation in mathematics?

Back

A set of ordered pairs, which can be a function or not a function.

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.