Relations and Functions

Front

What is a function?

Back

A relation where each input (x value) has exactly one output (y value).

Front

Which of the following is not a function? {(0,1), (1,2), (2,3), (3,4)}, {(0,2), (1,3), (4,3), (1,2)}, {(1,3), (4,2), (2,0), (3,4)}, {(1,2), (2,2), (3,2), (4,2)}

Back

{(0,2), (1,3), (4,3), (1,2)}

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Back

D: {-4, 0, 1, 2} R: {-4, -3, 1}.

Front

What is a relation in mathematics?

Back

A set of ordered pairs (x, y).

Front

If a relation has the pairs {(1,2), (2,3), (3,4)}, is it a function?

Back

Yes, because each x value has exactly one y value.

Front

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

Back

It means at least one x value is associated with more than one y value.

Front

What is the difference between domain and range?

Back

Domain refers to input values, while range refers to output values.

Front

What is an example of a function?

Back

The relation {(1,2), (2,3), (3,4)} is a function.