What is the function rule with input of 18,6,10,22,4,14 and output of 13,7,9,_,_. The last 2 outputs are blank as we need to figure out the rule and then fill in the blanks.
To determine the function rule that governs the relationship between the given inputs and outputs, we need to analyze the pattern exhibited by the numbers. Let's look at the given inputs and outputs:
Input: 18, 6, 10, 22, 4, 14
Output: 13, 7, 9, _, _
From an initial observation, it appears that the output values are derived by subtracting a specific number from the corresponding input value. To identify this number, we need to find the consistent pattern of subtraction across the provided pairs.
Let's compare the first pair of input and output values:
Input: 18
Output: 13
To obtain the output from the input, we subtract 5 (18 - 5 = 13).
Applying the same subtraction pattern to the other pairs:
Input: 6
Output: 6 - 5 = 1
Input: 10
Output: 10 - 5 = 5
Input: 22
Output: 22 - 5 = 17
Input: 4
Output: 4 - 5 = -1
Input: 14
Output: 14 - 5 = 9
Therefore, it seems that the consistent function rule is subtracting 5 from each input value to obtain the corresponding output value.
Using this rule, we can fill in the blank spaces:
Input: 18, 6, 10, 22, 4, 14
Output: 13, 7, 9, 17, 1
So, the function rule is subtracting 5 from the input values.