Function or Not a Function

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

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

Back

For a relation to be a function, each x value must correspond to only one y value.

Front

Which of the following is a function? (3, 4), (3, 5), (4, 5)

Back

(3, 4), (4, 5) is a function because the x value 3 corresponds to only one y value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph.

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.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can represent a function or not.

Front

What is the difference between a function and a non-function?

Back

A function has each x value paired with only one y value, while a non-function has at least one x value paired with multiple y values.

Front

What is an example of a non-function?

Back

The set of points (1, 2), (1, 3) is a non-function because the x value 1 corresponds to two different y values.

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one. If a horizontal line intersects the graph more than once, it is not one-to-one.