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 F(-2) ) to F(-1): 8 - 5 = 3

From F(-1) ) to F(0): 9 - 8 = 1

From F(0) ) to F(1): 8 - 9 = -1

From F(1) ) to F(2): 5 - 8 = -3

The first differences are: 3, 1, -1, -3 . These are not constant, so it is not linear.

Step 2: Calculate Common Ratios

Ratios:

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

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

Click "Show Answer" to reveal the answer and analysis