M8: Function and 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 crosses the graph at more than one point, it is not a function.

Front

Which of the following is a function? (2,3), (2,4), (3,5)

Back

This is not a function because the input '2' has two different outputs (3 and 4).

Front

Which of the following is not a function? (1,2), (1,3), (2,4)

Back

This is not a function because the input '1' has two different outputs (2 and 3).

Front

What does it mean for a set of values to be a function?

Back

It means that for every input value, there is exactly one output value.

Front

If a set of ordered pairs is (1,2), (2,3), (3,4), what type of relation is this?

Back

This is a function because each input has a unique output.

Front

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

Back

An example is the set of pairs (1,2), (1,3), which is not a function because the input '1' has two outputs.

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 an ordered pair?

Back

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

Front

What is the domain of a function?

Back

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