Question

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

Answer 1

Option B f(x) = x + 1

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.