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)
Liner
Quadratic
Exponential
The function represented by the table of values is neither linear, quadratic, nor exponential. The values don't follow a clear pattern that would be characteristic of any of these types of functions. It's possible that the function may be some other type of function, such as a piecewise function or a logarithmic function.
Choose one
Based on the given table of values, the function represented is most likely a quadratic function. This is because the differences between consecutive values of f(x) are not constant, which rules out a linear function, and the second differences between consecutive values of f(x) are not constant, ruling out an exponential function. A quadratic function may best fit the pattern exhibited in the table.
There is a
(point)
O first
O second
O third
difference of (1 point)
02
03
04