Analyzing Graphs

Question 1

What is the x-intercept of the continuous function shown in the table?

Revolt · Accepted Answer

(2, 0)

Question 2

Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where the function is increasing? (,)

Revolt · Accepted Answer

Part 1: -1; Part 2: 1

Question 3

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

Revolt · Accepted Answer

f(x) ≤ 0 over the interval [0, 2].; f(x) > 0 over the interval (–2, 0).; f(x) ≥ 0 over the interval [2, ).

Question 4

Analyze the table of values for the continuous function, f(x), to complete the statements. A local maximum occurs over the interval . A local minimum occurs over the interval .

Revolt · Accepted Answer

(–3, –1); Selection 1: (–2, 0); Selection 2: (0, 2)

Question 5

(–2, 0)(–1, 0)(0, 1)✔ (0, 2)

Revolt · Accepted Answer

(0, 2)

Question 6

Based on the table, which statement best describes a prediction for the end behavior of the graph of f(x)?

Revolt · Accepted Answer

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

Question 7

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

Revolt · Accepted Answer

[Image: A 2-column table with 5 rows. The first column is ...]

Question 8

When does the rock hit the ground? The rock hits the ground between seconds and ⇒ 2.5 seconds after it is dropped.

Revolt · Accepted Answer

Part 1: 2; ⇒ 2.5: 2

Question 9

Which statements are true? Check all that apply.

Revolt · Accepted Answer

The ball is at the same height as the building between 8 and 10 seconds after it is thrown.; The ball reaches its maximum height about 4 seconds after it is thrown

Question 10

If the table of the function contains exactly two potential turning points, one with an input value of –1, which statement best describes all possible values of m?

Revolt · Accepted Answer

–12 < m < 4

Analyzing Graphs Answers

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