What does the function machine do with numbers 1, 2, 4, and 7?

In summary, the conversation is discussing a function machine that maps the numbers 1, 2, 4, and 7 to 4, 8, 16, and 28 respectively. The function could potentially be a scaling of the input number or a shift left by a constant number of bits. However, specifying the function at only four points does not fully define it. One possible function that fits the given points is f(x) = 4x.
  • #1
nonstop
7
0
If we have function machine, which change numbers 1,2,4 and 7 like this

1 --> 4
2 --> 8
4 --> 16
7 --> 28

How i know simple, what is function, what machine use? :frown:

( I don't speak very well english )
 
Mathematics news on Phys.org
  • #2
From a numerical perspective, it looks like a straightforward scaling of the input number to get the output number (question -- what is the scale factor?).

From a binary state machine perspective, it looks like a shift left by a constant number of bits. How many bits?
 
  • #3
Machine? What are you talking about? Specifying a function at only 4 points does not specify the function, but for simple purposes you can consider the function to be a constant multiple of the input.
 
  • #4
nonstop said:
How i know simple, what is function, what machine use?
what did you mean by that question? can you please elaborate?
 
Last edited:
  • #5
What about:

[tex]f(x)=4x[/tex]

As:

[tex]
f(1)=4
f(2)=8
f(4)=16
f(7)=28
[/tex]
 
  • #6
What lo2 said with a domain of {1,2,4,7}
 

FAQ: What does the function machine do with numbers 1, 2, 4, and 7?

What is a function machine problem?

A function machine problem is a type of mathematical problem where a set of inputs are given and a rule or function is applied to them to produce a set of outputs. The goal of the problem is to determine the function or rule that was applied.

How do you solve a function machine problem?

To solve a function machine problem, you need to carefully examine the given inputs and corresponding outputs. You can then look for patterns or relationships between the inputs and outputs to determine the function or rule that was applied. It may also be helpful to use trial and error or work backwards from the outputs to determine the function.

What are some common types of function machine problems?

Some common types of function machine problems include problems involving basic arithmetic operations (such as addition, subtraction, multiplication, and division), problems involving algebraic expressions, and problems involving geometric transformations (such as rotations, translations, and reflections).

Why are function machine problems important?

Function machine problems are important because they help develop critical thinking and problem-solving skills. They also help students understand mathematical concepts, such as functions and algebraic expressions, in a more concrete and hands-on way.

How can I practice solving function machine problems?

You can practice solving function machine problems by using online resources, such as interactive games or worksheets, or by creating your own function machine problems using different input and output values. It can also be helpful to work with a tutor or study group to discuss different strategies and approaches to solving these types of problems.

Similar threads

Replies
24
Views
2K
Replies
4
Views
3K
Replies
4
Views
1K
Replies
4
Views
3K
Replies
2
Views
1K
Replies
55
Views
4K
Replies
5
Views
2K
Back
Top