Question

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

Answer 1

Choose one

Answer 2

There is a

(point)

O first

O second

O third

difference of (1 point)

02

03

04

Answer 3

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.

Answer 4

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.

Answer 5

Based on the given table of values, the function represented is most likely a quadratic function since the second differences between consecutive values of f(x) are not constant. This aligns with the characteristics of a quadratic function.