Function / Not a Function

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function by drawing vertical lines and checking if they intersect the graph more than once.

Front

What does it mean if an x value repeats in a table of values?

Back

If an x value repeats and has different y values, the table does not represent a function.

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an x value and a y value.

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 corresponding y value.

Front

What is an example of a function?

Back

The set of ordered pairs {(1, 2), (2, 3), (3, 4)} is a function because each x value is unique.

Front

What is an example of a non-function?

Back

The set of ordered pairs {(1, 2), (1, 3), (2, 4)} is not a function because the x value 1 is paired with two different y values.

Front

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

Back

A graph is a function if any vertical line drawn intersects the graph at most once.

Front

What is the significance of the x and y values in a function?

Back

The x values are the inputs, and the y values are the outputs of the function.

Front

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

Back

Check if any x value repeats with different y values; if it does, it is not a function.