Function or Not a Function (No Graphs)

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 not a function?

Back

A relation is not a function if at least one input (x-value) has more than one output (y-value).

Front

Example of a function: (2, 3), (3, 4), (4, 5). Is this a function?

Back

Yes, this is a function because each input has one output.

Front

Example of not a function: (1, 2), (1, 3), (2, 4). Is this a function?

Back

No, this is not a function because the input '1' has two outputs.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

Can a vertical line test determine if a relation is a function?

Back

Yes, if a vertical line intersects the graph of the relation more than once, it is not a function.

Front

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

Back

A one-to-one relation is a function where each output is paired with exactly one input.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

If a function has the ordered pairs (1, 2), (2, 3), (3, 4), what is the output for input 2?

Back

The output for input 2 is 3.