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.
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.
a table organizing the input rule output of a function
There are many possible answers. One of them is Output = 6 - Input.
There are an infinite possible answer. Among the simpler ones is: Output = Input - 2
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!
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.
a table organizing the input rule output of a function
There are many possible answers. One of them is Output = 6 - Input.
3
There are an infinite possible answer. Among the simpler ones is: Output = Input - 2
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!
The rule of a function in math is what relates the input value to the output value. For example, if f(x) = x2, the "function rule" is to square the input value to get the output value.
It is a function with fractions as output.
A function is a rule which assigns exactly one output f(x) to every input x.
Assuming by in you mean input and out you mean output. Input is the value that goes in while the output is the value you receive. Between these terms is a rule, called the nth term that will always work to help you find the input/output. For example. Our input is 2, and our output is 10 the rule here could be the input multiplied by 5 equals the output, or it can be something extremely difficult and unfathomable even to a banker...
Multiply by 5 and add 20 (or equivalently, add 4 and then multiply by 5)
yes