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 is associated with multiple outputs.

Front

Give an example of a function.

Back

An example of a function is the relation {(1,2), (2,3), (3,4)}.

Front

Give an example of a relation that is not a function.

Back

An example of a relation that is not a function is {(1,2), (1,3), (2,4)}.

Front

What is a mapping in mathematics?

Back

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

Front

How can you tell if a graph is a function?

Back

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

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

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

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value.