which table shows a function that is decreasing only over the interval (-1, 1)?

Explanation:

Step1: Check first table

For (x) values from (-2) to (-1), (f(x)) increases from (0) to (3). From (-1) to (1), (f(x)) decreases from (3) to (-3). From (1) to (2), (f(x)) increases from (-3) to (0).

Step2: Check second table

For (x) values from (-2) to (-1), (f(x)) decreases from (10) to (8). From (-1) to (1), (f(x)) decreases from (8) to (-8). From (1) to (2), (f(x)) decreases from (-8) to (-10).

Step3: Check third table

For (x) values from (-2) to (-1), (f(x)) decreases from (0) to (-3). From (-1) to (1), (f(x)) increases from (-3) to (3). From (1) to (2), (f(x)) decreases from (3) to (0).

Step4: Check fourth table

For (x) values from (-2) to (-1), (f(x)) increases from (-10) to (-8). From (-1) to (1), (f(x)) increases from (-8) to (8). From (1) to (2), (f(x)) increases from (8) to (10).

Answer:

The first table shows a function that is decreasing only over the interval ((-1,1)).