Question

answer the questions below to determine what kind of function is depicted in the table below.

x	1	2	3	4	5
f(x)	-7	37	169	389	697

answer attempt 1 out of 2
this function is because

Explanation:

Step1: Calculate first - order differences

$37-(-7)=44$, $169 - 37=132$, $389 - 169 = 220$, $697 - 389=308$

Step2: Calculate second - order differences

$132 - 44 = 88$, $220-132 = 88$, $308 - 220=88$
Since the second - order differences are constant, the function is quadratic.

Answer:

Quadratic