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There are many rules for that pair. Without further information about the kind of operators expected to be used it is impossible to give an answer.
Let me give you a very simple example:
What is the rule for input 2 output 4:
rule 1: x → x + 2
rule 2: x → 2x
rule 3: x → x^2
rule 4: x → x^3 ÷ 2
rule 5: x → x^3 - x^2
rule 6: x → x^3 - 2x
rule 7: x → x^3 - 4
rule 6: x → x^4 - x^3 - x^2
etc
Even with a list of permissible operators, there is no one definite answer given only one pair of input/output - it would require further examples of inputs and their corresponding outputs to be able to narow the possible answers: only slightly as it is still possible to find [infinitely] many polynomials that provide the given input/output pairs.
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A table organizing the input rule output of a function?
a table organizing the input rule output of a function
What is the rule if the input is 6 and the output is 4?
The relationship between the input and output values is typically defined by a function. In this case, if the input is 6 and the output is 4, the function could be represented as f(x) = x - 2. This function subtracts 2 from the input value to get the output value.
What is the rule when the input is 1 and the output is 5 and input is 5 and output is 1 and input is 9 and output is -3?
The rule appears to be a linear relationship between the input and output values. When the input increases by 4 (from 1 to 5), the output decreases by 4 (from 5 to 1). Similarly, when the input increases by another 4 (from 5 to 9), the output decreases by 4 again (from 1 to -3). Therefore, the rule seems to be that for every increase of 4 in the input, the output decreases by 4.
What is the rule for this input - output table 6 in 4 out?
There are an infinite possible answer. Among the simpler ones is: Output = Input - 2
What is the math definition for input output tables?
A table in which you put in a number and out comes another number. Usually more than one groups of numbers. And almost ALWAYS follows a rule such as: Input x3=Output or Input -23= Output Input | Output 2 | 4 10 | 20 16 | 32 In this table you can see that the rule is Input x2 = Output Hope This helped!
