Use successive differences to classify the function represented in the table. Show all your work.
X | -2 | -1 | 0 | 1 | 2
___________________________
h(x) | 14 | 5 | 2 | 5 | 14
Δ1:
5 - 14 = -9.
2 - 5 = -3.
5 - 2 = 3.
14 - 5 = 9.
Δ2:
-3 - (-9) = 6.
3 - (-3) = 6.
9 - 3 = 6.
Hence, h(x) is a quadratic function.
Comments
Δ1:
5 - 14 = -9.
2 - 5 = -3.
5 - 2 = 3.
14 - 5 = 9.
Δ2:
-3 - (-9) = 6.
3 - (-3) = 6.
9 - 3 = 6.
Hence, h(x) is a quadratic function.