Identify the function rule from the values in the table
Input. Output
-2. 8
0. 0
1. -4
3. -12
Output equals input times -4
Output equals input minus 6
Output equals input plus 10
Output equals input plus 6
The correct function rule is: Output equals input times -4.
To identify the function rule from the values in the table, we can analyze the relationship between the input and output values. Looking at the table, it appears that the output is related to the input by multiplying it by a specific number.
From the first row, we see that when the input is -2, the output is 8. This suggests that the output is obtained by multiplying the input by a factor.
From the second row, we see that when the input is 0, the output is 0. This indicates that when the input is multiplied by 0, the output is also 0.
From the third row, we see that when the input is 1, the output is -4. This suggests that the output is obtained by multiplying the input by -4.
From the fourth row, we see that when the input is 3, the output is -12. This again indicates that the output is obtained by multiplying the input by -4.
Based on these patterns, we can conclude that the function rule is "Output equals input times -4."