Question

Study this table. x y –3 –2 –2 0 0 4 4 12 Which best describes the function represented by the data in the table? linear with a common ratio of 2 linear with a common first difference of 2 quadratic with a common ratio of 2 quadratic with a common first difference of 2

Answer 1

Answer: Option B

(B) linear with a common first difference of 2 <====== 100%

Explanation:

Answer 2

linear with a common first difference of 2

Explanation:

If this is linear, the common first difference, or slope, will be the same throughout the entire table.

The formula for slope is

`m=(y_2-y_1)/(x_2-x_1)`

For the first set of points, we have:

m=(0--2)/(-2--3) = (0+2)/(-2+3) = 2/1 = 2

For the second set of points, we have:

m = (4-0)/(0--2) = 4/(0+2) = 4/2 = 2

For the third set of points, we have:

m = (12-4)/(4-0) = 8/4 = 2

The rate of change, or slope, is constant; this makes the function a linear function with a common first difference of 2.