Function Machines

Front

What is a function machine?

Back

A function machine is a way to describe a process that takes an input, applies a rule, and produces an output.

Front

What is the output of a function machine if the input is x = 5 and the rule is to subtract 20?

Back

-15

Front

What does it mean for a set of ordered pairs to be a function?

Back

Every input (x-value) must have only one output (y-value).

Front

Is the set of ordered pairs (2, 3), (2, 4), (3, 5) a function?

Back

No, because the input 2 has two different outputs (3 and 4).

Front

What is the definition of a function?

Back

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

Front

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

Back

(1, 2), (2, 3), (3, 4) is a function because no x-values repeat.

Front

What is an example of a function rule?

Back

A function rule can be 'multiply by 2' or 'add 3'.

Front

If the input is 4 and the function rule is 'add 5', what is the output?

Back

9

Front

What is the importance of function machines in math?

Back

They help us understand how inputs are transformed into outputs through specific rules.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.