Answers DOP - A - Algebra II Semester 2 2025Cumulative Exam

Cumulative Exam Answers

0 verified answers

Free Preview

Which of the following is the complete list of roots for the polynomial function ?

–5, 3

–5, 3, –4 + i, –4 – i

–5, 3, –4 + i, 4 + i

–4 + i, –4 – i

Free Preview

Which statement comparing the oblique asymptotes of the functions f(x) and g(x) is true?

The oblique asymptote for g(x) is steeper than for f(x).

Both functions have the same oblique asymptote.

The oblique asymptote for f(x) is steeper than for g(x).

Both functions have parallel oblique asymptotes.

What is the following product? Assume

x StartRoot x EndRoot

RootIndex 12 StartRoot x Superscript 5 EndRoot

x (RootIndex 12 StartRoot x Superscript 5 EndRoot)

If , what is the value of x?

–3

–2

What is the solution of ?

Which statement best describes and the parent function ?

The domains of g(x) and f(x) are the same, but their ranges are not the same.

The ranges of g(x) and f(x) are the same, but their domains are not the same.

The ranges of g(x) and f(x) are the same, and their domains are also the same.

The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

Which solution to the equation is extraneous?

a = –2

a = –2 and a = 4

neither a = –2 nor a = 4

a = 4

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ?

Option

The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation , where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?

320

737

What is the true solution to the logarithmic equation?

Option

What is the solution to the equation ?

n = –4, n = –1

n = –1

n = 1

n = 1, n = 4

Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula , with d being the distance they can see in miles and h being their eye-level height in feet.

1 mi

19 mi

Anja divides (8x3 – 36x2 + 54x – 27) by (2x – 3) as shown below. What error does Anja make?

She makes a subtraction error.

She makes an error choosing the x-term in the quotient.

She makes a multiplication error.

She makes an error rewriting the problem in long division.

Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.Step 1: (3x3 – 15x2) + (–4x + 20)Step 2: 3x2(x – 5) + 4(–x + 5)

Omar should realize that his work shows that the polynomial is prime.

Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).

In Step 2, Omar should factor only out of the first expression.

Omar should factor out a negative from one of the groups so the binomials will be the same.

Which of the following is the graph of ?

On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = negative 1.

On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.

On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = 1.

On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = negative 1.

The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters?

Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?

2.0 mph

3.3 mph

5.0 mph

10.0 mph

Which equation has x = 4 as the solution?

log Subscript 4 Baseline (3 x + 4) = 2

log Subscript 3 Baseline (2 x minus 5) = 2

log Subscript x Baseline 64 = 4

log Subscript x Baseline 16 = 4

A certain company has a fixed cost of $200 per day. It costs the company $3.10 per unit to make its products. The company is tracking its average cost to make x units using . Which statement is true?

The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

The vertical asymptote of x = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

Riley makes a mistake in step 2 while doing her homework. What was her mistake? Step 1: Step 2: Step 3: Step 4:

She added the two fractions incorrectly.

She used the wrong common denominator.

She did not distribute the negative correctly.

She did not multiply the first fraction by a factor.

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 5)3 − 6. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(5, −6)

(−5, −6)

(5, 6)

(−5, 6)

Which expression is equivalent to ? Assume and .

StartFraction a cubed b (RootIndex 3 StartRoot 15 b squared EndRoot) Over 2 c cubed EndFraction

StartFraction b (RootIndex 3 StartRoot 15 b EndRoot) Over 2 a squared c cubed EndFraction

StartFraction a cubed b (RootIndex 3 StartRoot 15 b squared EndRoot) Over 6 c cubed EndFraction

StartFraction b (RootIndex 3 StartRoot 15 b EndRoot) Over 2 a c EndFraction

Which describes how to graph by transforming the parent function?

Reflect the parent function over the y-axis, and translate it 3 units to the right.

Reflect the parent function over the y-axis, and translate it 3 units to the left.

Reflect the parent function over the x-axis, and translate it 8 units to the right.

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Which expression is equivalent to ?

What is the simplified form of the following expression?

2x4y8

2x2|y3z|

4x2|y3z|

4x4y8

Did you find these answers helpful?

Cumulative Exam Answers

More from this Course

TRY EDGENUITY HACKS