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 if a relation is not a function?

Back

If a relation is not a function, it means that at least one input (x-value) is associated with more than one output (y-value).

Front

Which of the following is a function? (3,4) (4,-3) (7,4) (3, 8) or (2, -2) (5, 9) (5, -7) (1, 4)?

Back

(3,4) (4,-3) (7,4) (3, 8) is a function because all x-values are unique.

Front

What is an example of a relation that is not a function?

Back

An example is the relation {(1,2), (1,3), (2,4)} because the input '1' has two different outputs.

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 input and an output.

Front

How can you tell if a graph is a function by looking at its graph?

Back

You can tell if a graph is a function by using the vertical line test.

Front

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

Back

A function has one output for each input, while a non-function has at least one input with multiple outputs.

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

What does it mean for a graph to pass the vertical line test?

Back

It means that any vertical line drawn on the graph intersects it at most once, indicating it is a function.