Functions and Relations Exit Ticket

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is a non-function?

Back

A relation where at least one input has more than one output.

Front

Which of the following sets of ordered pairs represents a function? 1. {(1,2), (1,3), (2,4)} 2. {(2,3), (3,4), (4,5)} 3. {(1,2), (2,2), (1,3)} 4. {(3,4), (3,4), (3,5)}

Back

{(2,3), (3,4), (4,5)}

Front

What is a mapping diagram used for?

Back

To show how elements from the domain are paired with elements in the range.

Front

If the domain of a relation is {a, b, c} and the range is {1, 2}, which of the following could be a mapping diagram for a function? 1. a → 1, b → 2, c → 1 2. a → 1, a → 2, b → 1 3. a → 1, b → 2, b → 1 4. a → 1, b → 1, c → 2, c → 2

Back

a → 1, b → 2, c → 1

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

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What is an ordered pair?

Back

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

Front

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

Back

Each output is paired with exactly one input, meaning no two different inputs produce the same output.