Lauren is saving money for a new sweater. Every Sunday she counts and records the number of dollars in her piggy bank and notices that these amounts resemble a function, f (x), where x is the number of weeks since she started saving and f (x) is the amount of money in the piggy bank at the end of that week. The table of values for the function, f (x), is given below.
X
0
1
2
3
4
f(x)
5
8
13
20
29
This table belongs to a(n)
(1 point)
O linear
O quadratic
O exponential
function.
There is a
(point)
O first
O second
O third
difference of (1 point)
02
03
04
The function f(x) appears to be following a pattern where the differences between consecutive terms are increasing by 2 each time. This indicates that the function is a quadratic function.
Additionally, since the differences between consecutive terms are increasing by 2 each time, this indicates that there is a second difference of 2.