Answer:
a). Function is not a quadratic function
b). Quadratic function.
Step-by-step explanation:
1.a). x y Ist difference IInd difference
-2 -1 - -
-1 0 0 - (-1) = 1 -
0 4 4 - 0 = 4 [tex]d_1[/tex] = 4 - 1 = 3
1 9 9 - 4 = 5 [tex]d_2[/tex] = 5 - 4 = 1
2 15 15 - 9 = 6 [tex]d_3[/tex] = 6 - 5 = 1
Since, 2nd difference [tex]d_1[/tex], [tex]d_2[/tex] and [tex]d_3[/tex] from the table are not common, function represented by the table is not a quadratic function.
b). -3x²+ x = y - 11
-3x² + x + 11 = y
y = -3x² + x + 11
Since, the highest degree term of the given function is of 2nd degree given function is a quadratic function.
