Algebra-1

Let's analyze the given data table to determine its nature.

Step 1: Calculate Common Differences

Common Differences:

From y(-2) to y(-1): 4 - 16 = -12

From y(-1) to y(0): 1 - 4 = -3

From y(0) to y(1): 0.25 - 1 = -0.75

The common differences are: -12, -3, -0.75

These differences are not constant, so the relationship is not linear.

Step 2: Calculate Common Ratios

Common Ratios:

From y(-2) to y(-1):

From y(-1) to y(0):

Click "Show Answer" to reveal the answer and analysis