Function vs Non Function

Front

What is a function?

Back

A special relationship where each x value has only one y value.

Front

What is a non-function?

Back

A relation where at least one x value has more than one corresponding y value.

Front

What guarantees that a mapping is not a function?

Back

An x value has two or more arrows leaving it.

Front

What does the vertical line test determine?

Back

If a graph represents a function; if any vertical line intersects the graph more than once, it is not a function.

Front

Can a y value repeat in a function?

Back

Yes, a y value can repeat as long as each x value has only one corresponding y value.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represents a point on a graph.

Front

If the x value 5 has y values of 10 and 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 the definition of a relation?

Back

A set of ordered pairs.

Front

What does it mean for a function to be one-to-one?

Back

Each x value corresponds to a unique y value and each y value corresponds to a unique x value.

Front

What is a mapping?

Back

A way to describe how each element of one set (domain) is paired with an element of another set (range).