Question

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.
Which is a y-intercept of the continuous function in the table?

(0, –6)
(–2, 0)
(–6, 0)
(0, –2)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.
Which is a y-intercept of the continuous function in the table?

(5, 0)
(0, 1)
(0, 5)
(1, 0)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.
Which could be the entire interval over which the function, f(x), is positive?

(–∞, 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.
Which lists all of the y-intercepts of the continuous function in the table?

(0, 0)
(–1, 0), (2, 0)
(–1, 0), (0, 0)
(–1, 0), (0, 0), (2, 0)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.
Which is a valid prediction about the continuous function f(x)?

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).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.
According to the table, which ordered pair is a local maximum of the function, f(x)?

(0, 64)
(3, –35)
(5, 189)
(2, 0)A local maximum of the function f(x) occurs for which x-value?

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 16, negative 2, 0, 6, 0, negative 2.

–4
–3
–2
–1A 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.
Using only the values given in the table for the function, f(x), what is the interval of x-values over which the function is increasing?

(–6, –3)
(–3, –1)
(–3, 0)
(–6, –5)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.
Based on the table, which best predicts the end behavior of the graph of 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) → ∞.
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?

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 6, negative 3, negative 1, 1, 3, 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 2, negative 4, negative 1, 1, 4, 3.

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 5, 7, 1, 0, negative 4, negative 2.

Answer 1

1) (0, –6)

2) (0, 5)

3) (–2, 1)

4) (0, 0)

5) f(x) ≥ 0 over the interval [5, ∞)

6) (0, 64)

7) x = –1

8) (–3, –1)

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

10) The second table (f values: –2, –4, –1, 1, 4, 3).