Analyzing Tables Answers

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A local maximum of the function f(x) occurs for which x-value?

Question illustration
A
–4
B
–3
C
–2
D
–1
2
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A 2-column table with 8 rows. The first column is labeled x with entries negative 6, negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 34, 3, negative 10, negative 11, negative 6, negative 1, negative 2, negative 15.

Question illustration
A
(–6, –3)
B
(–3, –1)
C
(–3, 0)
D
(–6, –5)
3

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries negative 10, 0, 0, negative 4, negative 6, 0.

Question illustration
A
(0, –6)
B
(–2, 0)
C
(–6, 0)
D
(0, –2)
4

A 2-column table with 8 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries negative 2, 0, 2, 2, 0, negative 8, negative 10, negative 20.

Question illustration
A
(–∞, 1)
B
(–2, 1)
C
(–∞, 0)
D
(1, 4)
5

A 2-column table with 7 rows. The first column is labeled x with entries negative 5, negative 3, negative 1, 1, 3, 5, 7. The second column is labeled f of x with entries 8, 4, 0, negative 2, negative 2, 0, 4.

Question illustration
A
f(x) ≥ 0 over the interval [5, ∞).
B
f(x) ≤ 0 over the interval [–1, ∞).
C
f(x) > 0 over the interval (–∞, 1).
D
f(x) < 0 over the interval (–∞. –1).
6

Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?

A
Option
B
Option
C
Option
D
Option
7

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, 0, 0, negative 2, 0, 12.

Question illustration
A
(0, 0)
B
(–1, 0), (2, 0)
C
(–1, 0), (0, 0)
D
(–1, 0), (0, 0), (2, 0)
8

A 2-column table with 9 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries 18, 9, 6, 3, 0, negative 3, negative 6, negative 9, negative 18.

Question illustration
A
As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.
B
As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞.
C
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.
D
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.
9

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 20, 0, negative 6, negative 4, 0, 0.

Question illustration
A
(–1, 0)
B
(0, –6)
C
(–6, 0)
D
(0, –1)
10

A 2-column table with 9 rows. The first column is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 6, negative 2, 0, 4, 4, 0, negative 2, negative 6, negative 10.

Question illustration
A
As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.
B
As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞.
C
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.
D
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.

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