Algebra-1

Let’s analyze the given table using common differences and ratios to determine if the relationship is linear, exponential, or quadratic.

Step 1: Calculate Common Differences

First Differences:

From y(0) to y(1): -6 - 2 = -8

From y(1) to y(2): 18 - (-6) = 24

From y(2) to y(3): -54 - 18 = -72

The first differences are: -8, 24, -72. These are not constant, so it is not linear.

Step 2: Calculate Common Ratios

Ratios:

From y(0) to y(1):

From y(1) to y(2):

Click "Show Answer" to reveal the answer and analysis