Q:

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

Accepted Solution

A:
Answer:linear with a common first difference of 2Step-by-step explanation:If this is linear, the common first difference, or slope, will be the same throughout the entire table.The formula for slope is[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]For the first set of points, we have:m=(0--2)/(-2--3) = (0+2)/(-2+3) = 2/1 = 2For the second set of points, we have:m = (4-0)/(0--2) = 4/(0+2) = 4/2 = 2For the third set of points, we have:m = (12-4)/(4-0) = 8/4 = 2The rate of change, or slope, is constant; this makes the function a linear function with a common first difference of 2.