Recognizing Patterns Answers

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A 2-column table with 9 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3, 4, 5, 6. The second column is labeled f of x with entries 0, 45, 64, 45, 0, negative 35, 0, 189, 640.

(0, 64)

(3, –35)

(5, 189)

(2, 0)

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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.

As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.

As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞.

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.

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.

(0, –6)

(–2, 0)

(–6, 0)

(0, –2)

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.

As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.

As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞.

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.

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.

(–∞, 1)

(–2, 1)

(–∞, 0)

(1, 4)

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.

(0, 0)

(–1, 0), (2, 0)

(–1, 0), (0, 0)

(–1, 0), (0, 0), (2, 0)

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.

(–1, 0)

(0, –6)

(–6, 0)

(0, –1)

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

–4

–3

–2

–1

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 15, 10, 5, 0, negative 5, negative 10.

(5, 0)

(0, 1)

(0, 5)

(1, 0)

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Answer not available

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 10, negative 8, negative 6, negative 4, negative 2, 0.

(0, –6)

(3, 0)

(–6, 0)

(0, 3)

Stefano accidentally dropped his sunglasses off the edge of a canyon as he was looking down. The height, h(t), in meters (as it relates to sea level), of the sunglasses after t seconds, is shown in the table.

166 meters

176 meters

230 meters

240 meters

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

Option

A 2-column table with 7 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 6, negative 4, negative 1, negative 2, negative 5, negative 8, negative 16.

(–3, –4)

(–2, –1)

(0, –5)

(1, –8)

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.

f(x) ≥ 0 over the interval [5, ∞).

f(x) ≤ 0 over the interval [–1, ∞).

f(x) > 0 over the interval (–∞, 1).

f(x) < 0 over the interval (–∞. –1).

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