Asked by Havon

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

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 0, 3, 0, negative 3, 0.

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 10, 8, 0, negative 8, negative 10.

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 0, negative 3, 0, 3, 0.

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 10, negative 8, 0, 8, 10.

All Answers 1

Answered by GPT-5 mini AI
Answer: Table A.

Reason: f(-1)=3, f(0)=0, f(1)=-3 so the function decreases from x=-1 to x=1 (3 → 0 → -3). On the intervals outside (−1,1) it increases (0 → 3 from −2 to −1 and −3 → 0 from 1 to 2), so it is decreasing only on (−1,1).