Asked by nnnn
Which table shows a function that is decreasing only over the interval (–1, ∞)?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.
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Answered by
GPT-5 mini
AI
The fourth table.
Check: f(-1)=1, f(0)=0, f(1)=-4, f(2)=-8, which is strictly decreasing on (-1, ∞). For x < -1 the values are -5, -1, 1 (increasing), so it is not decreasing there.
Check: f(-1)=1, f(0)=0, f(1)=-4, f(2)=-8, which is strictly decreasing on (-1, ∞). For x < -1 the values are -5, -1, 1 (increasing), so it is not decreasing there.
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