Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Input(x) Output(y)
32 20
14 2
? −6
-2 -14
-10 ?
Complete the function table and write the function rule.
i need to show my work
for the three complete pairs ... y = x - 12
then solve the problem so u can show ur work
To complete the function table and find the function rule, we need to identify the relationship between the input (x) and output (y) values.
Looking at the given inputs and outputs, we can see that the value of y is obtained from the value of x by subtracting 12.
We can verify this pattern by subtracting 12 from each of the given input values:
32 - 12 = 20
14 - 12 = 2
-2 - 12 = -14
-10 - 12 = -22
Now we have the missing values in the function table:
Input(x) Output(y)
32 20
14 2
? -6
-2 -14
-10 -22
To find the missing values, we subtract 12 from each input value:
For the missing value in the third row, we subtract 12 from -6:
-6 - 12 = -18
For the missing value in the fifth row, we subtract 12 from -22:
-22 - 12 = -34
Now we have a complete function table:
Input(x) Output(y)
32 20
14 2
-6 -6
-2 -14
-10 -22
The function rule can be written as: y = x - 12