Relations and Functions

Front

Is the relation depicted in the table below a function?

Back

Yes, a relation is a function if every input has only one output.

Front

What is the definition of function?

Back

A function is a relation where every input has only ONE output.

Front

The graph of a relation is shown at the right. Is this relation a function?

Back

No, a relation is not a function if any input has more than one output.

Front

The graph of a relation is shown below. Is the relation a function?

Back

Yes, a relation is a function if every input has only one output.

Front

Which of the relations below is a function? {(2, 3), (3, 4), (5, 1), (2, 4)}; {(2, 3), (3, 4), (6, 2), (7, 3)}; {(2, 3), (3, 4), (6, 2), (3, 3)}

Back

{(2, 3), (3, 4), (6, 2), (7, 3)} is a function because each input has a unique output.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

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

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

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 the function.

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.