Identifying Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What does it mean for a mapping to represent a function?

Back

A mapping represents a function if each input is paired with exactly one output.

Front

Can a function have the same input with different outputs?

Back

No, a function cannot have the same input paired with different outputs.

Front

What is an example of a non-function mapping?

Back

The mapping {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.

Front

How can you determine if a set of ordered pairs is a function?

Back

Check if any input value is repeated with different output values.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Which of the following is a function: {(1, 2), (2, 3), (3, 4)} or {(1, 2), (1, 3)}?

Back

The first set {(1, 2), (2, 3), (3, 4)} is a function; the second set {(1, 2), (1, 3)} is not.

Front

What is an example of a function in real life?

Back

A function can be seen in a vending machine where each button (input) gives one specific snack (output).