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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

-15

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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).

Tags

CCSS.8.F.A.1

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).

Tags

CCSS.8.F.A.1

Front

What is the definition of a function?

Back

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

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

Front

What is an example of a function rule?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

9

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the importance of function machines in math?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.1