Relations and Functions Exit Ticket

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What is a relation?

Back

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

Front

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

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

Front

Is the relation {(1,2), (1,3), (2,4)} a function?

Back

No, it is not a function because the input '1' has two different outputs (2 and 3).

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

Identify the function: {(1,2), (2,3), (2,4)}, {(1,2), (2,3), (3,4)}, {(1,2), (1,3), (2,4)}

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if any vertical line intersects the graph at more than one point.

Front

If a function has an input of 3 and an output of 5, what is the ordered pair?

Back

The ordered pair is (3, 5).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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