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

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The discussion revolves around a function machine that transforms the numbers 1, 2, 4, and 7 into 4, 8, 16, and 28, respectively. The transformation appears to be a scaling of the input numbers, specifically a function defined as f(x) = 4x. There is also a mention of a binary state machine perspective, suggesting a left shift operation, but this is less relevant to the main function. The conversation highlights that specifying a function at only four points does not fully define it, yet for practical purposes, the scaling factor can be considered constant. Overall, the function machine's operation is primarily understood as a simple multiplication of the input by 4.
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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 )
 
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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?
 
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.
 
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:
What about:

f(x)=4x

As:

<br /> f(1)=4<br /> f(2)=8<br /> f(4)=16<br /> f(7)=28<br />
 
What lo2 said with a domain of {1,2,4,7}
 
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