The function relationship is a quadratic function
The function is given as:
x y
-5 17
-4 7
-3 1
-2 -1
-1 1
Remove the x values:
y: 17 7 1 -1 1
Calculate the difference between the consecutive y values
Difference: 10 6 2 -2
Because the first difference are not equal, it means that the function is not a linear function.
Calculate the difference between the above differences
Difference: 4 4 4
Because the second differences are equal, it means that the function is a quadratic function.
Hence, the function relationship is a quadratic function
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