Is it 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 does it mean if a relation is not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than 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

Is the relation (1,5), (2,5), (1,-5), (2,-5) a function?

Back

No, because the x-value 1 has two different y-values (5 and -5).

Front

Is the relation (3,10), (5,-3), (7,4), (3,8) a function?

Back

No, because the x-value 3 has two different y-values (10 and 8).

Front

Which of the following is a function: (6,1), (7,2), (8,2), (9,1) or (1,-2), (5,8), (5,-7), (3,4)?

Back

(6,1), (7,2), (8,2), (9,1) is a function because each x-value is unique.

Front

What is an example of a function?

Back

An example of a function is the relation (2,3), (3,4), (4,5) where each x-value has a unique y-value.

Front

What is 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) because the x-value 1 has two different y-values.

Front

If a graph passes the vertical line test, what can we conclude?

Back

If a graph passes the vertical line test, we can conclude that it is a function.

Front

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

Back

A one-to-one function is a function where each output (y-value) is paired with exactly one input (x-value).