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
The relationship between the input of 4 and the output of 32 suggests a multiplicative rule. Specifically, it appears that the output is 8 times the input (4 × 8 = 32). Therefore, the rule can be expressed as: output = input × 8.
The rule for an input of 2 producing an output of 1.2 could be represented by a mathematical function, such as multiplying the input by a specific factor. In this case, the output can be achieved by multiplying the input by 0.6 (since 2 * 0.6 = 1.2). Therefore, the rule can be expressed as: Output = Input * 0.6.
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.
The relationship between the input and output values can be determined by a mathematical function or rule. In this case, when the input is 1 and the output is 8, the rule could be represented as f(x) = 8x, where f(x) is the function and x is the input value. This means that the output is obtained by multiplying the input value (1) by 8.
To find the input given a function rule and output, you need to reverse the function rule. Start by substituting the output value into the equation and then solve for the input variable. This may involve algebraic manipulation, such as isolating the variable. Once you have done this, you will obtain the input corresponding to the given output.
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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.
A function is a rule which assigns exactly one output f(x) to every input x.