Analyzing Tables Answers

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4

Predict which statements are true about the intervals of the continuous function. Check all that apply.

A
f(x) > 0 over the interval (−, 3).
Option A
B
f(x) ≤ 0 over the interval [0, 2].
C
f(x) < 0 over the interval (−1, 1).
D
f(x) > 0 over the interval (–2, 0).
E
f(x) ≥ 0 over the interval [2, ).
Option E
5

(–2, 0)(–1, 0)(0, 1)✔ (0, 2)

A
(–2, 0)
B
(–1, 0)
C
(0, 1)
D
✔ (0, 2)
6

Analyze the table of values for the continuous function, f(x), to complete the statements.

Answers:
A local maximum occurs over the interval .:(–2, 0)
A local minimum occurs over the interval .:(0, 2)
7

A 2-row table with 9 columns. The first row is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row is labeled f of x with entries negative 14, 6, 0, negative 4, negative 6, negative 6, negative 4, 0, 6. Based on the table, which statement best describes a prediction for the end behavior of the graph of f(x)?

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) → –∞
8

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

A
[Image: A 2-column table with 5 rows. The first column is ...]
Option A
B
[Image: A 2-column table with 5 rows. The first column is ...]
Option B
C
[Image: A 2-column table with 5 rows. The first column is ...]
Option C
D
[Image: A 2-column table with 5 rows. The first column is ...]
Option D
10

Which statements are true? Check all that apply.

A
The ball is at the same height as the building between 8 and 10 seconds after it is thrown.
B
The height of the ball decreases and then increases.
C
The ball reaches its maximum height about 4 seconds after it is thrown
D
The ball hits the ground between 8 and 10 seconds after it is thrown.
E
The height of the building is 81.6 meters.

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