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Input (x) Output (y)
32 20
14 2
? -6
-2 -14
-10 ?
Complete the function table and write the function rule.
the difference in the input and output looks like a constant 12
y = x - 12
32, 15, ?, -2, and -10 are input.
20, 2, -6, -14, and ? is output
To complete the function table, we need to find the output (y) for the given input (x).
From the given input and output pairs, we can observe a pattern:
When x decreases by 18, y decreases by 18.
So, to find the output for the missing input values in the function table, we need to subtract 18 from the given output (y).
For the missing input value where the output is -6:
-6 - 18 = -24
For the missing input value where the output is -14:
-14 - 18 = -32
Completing the function table:
Input (x) | Output (y)
-----------------------
32 | 20
14 | 2
? | -6
-2 | -14
-10 | -24
Now that we have completed the function table, we can write the function rule.
From the pattern we observed, we can conclude that the function rule is:
y = x - 18