Relations & Functions

Front

What is a function?

Back

A function is a relation in which each input (x-value) is associated with exactly one output (y-value).

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 which the function is defined.

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 is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, the relation is not a function.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input is paired with exactly one output.

Front

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

Back

Domain: {-4, 0, 1, 2}, Range: {-4, -3, 1}.

Front

Which of the following is NOT a function: {(1,-5), (3,1), (-5,4), (4,-2)}, {(2,7), (3,7), (4,7), (5,8)}, {(1,-5), (-1,6), (1,5), (6,-3)}, {(3,-2), (5,-6), (7,7), (8,8)}?

Back

{(1,-5), (-1,6), (1,5), (6,-3)} is NOT a function.

Front

What are the x-values of a relation called?

Back

The x-values of a relation are called the domain.

Front

What are the y-values of a relation called?

Back

The y-values of a relation are called the range.

Front

If a function has the points (2,3), (3,4), and (4,5), what is the output when the input is 3?

Back

The output is 4.