Differentiate which of the following models best fits the data.
(-2,-1), (0,1), (1,2), (3,4), (5,6)

f(x) = – x2+ 2x - 3
f(x) = x + 1
f(x) = - x3 + x + 1
f(x) = (2)x

Option B f(x) = x + 1

Step-by-step explanation:

The given points are

x        y        Relationship (x & y)

-2      -1        -2 + 1 = -1      

0        1         0 + 1 = 1    

1        2          1 + 1 = 2    

3       4          3 + 1 = 4    

5       6          5 + 1 = 6

As we can see the difference in x and y values of each ordered pairs is one

Therefore, relationship between x & y that can be represented by y = x + 1

Option B f(x) = x + 1 is the answer.

the weight of the object inside the box!