AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Graphing Rational Functions

Graphing Rational Functions — Unit test Answers

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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?

Question illustration
A
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.
B
The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.
C
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.
D
The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.
2
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Mrs. Cho wrote the following problem on the board.Problem: Step 1: Step 2: Step 3: What should Mrs. Cho do next?

Question illustration
A
Find a common denominator for the two fractions.
B
Divide the numerator and denominator of the first fraction by x2 and y.
C
Multiply the numerators, multiply the denominators, and then simplify.
D
Multiply the first fraction by the reciprocal of the second fraction.
3

For which rational expression is –5 an excluded value of x?

A
mc016-1.jpg
Option A
B
mc016-2.jpg
Option B
C
mc016-3.jpg
Option C
D
mc016-4.jpg
Option D
4

What is the quotient?

Question illustration
A
StartFraction 1 Over 2 y EnDfraction
Option A
B
StartFraction 3 y + 2 Over 6 y squared EndFraction
Option B
C
StartFraction 1 Over y EndFraction
Option C
D
StartFraction 2 (3 y + 2) Over 3 EndFraction
Option D
5

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = negative 2.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = negative 2.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = 2.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1 , and the other curve opens down and to the left in quadrants 2, 1, and 4. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = 2.
Option D
6

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

A
4 mph
B
7 mph
C
10 mph
D
12 mph
7

What is the solution of ?

Question illustration
A
–1 < x < 1 or
Option A
B
–1 < x < 1 or
Option B
C
x < –1 or
Option C
D
x < –1 or
Option D
8

What are the vertical and horizontal asymptotes for the function ?

Question illustration
A
vertical asymptote: x = 1horizontal asymptote: none
B
vertical asymptote: x = 1horizontal asymptote: y = 0
C
vertical asymptote: x = –2, x = 3horizontal asymptote: y = 0
D
vertical asymptote: x = –2, x = –3horizontal asymptote: none
9

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction x minus 3 Over x EndFraction
Option A
B
StartFraction x + 3 Over 1 EndFraction
Option B
C
StartFraction x + 3 Over x EndFraction
Option C
D
StartFraction x Over x + 3 EndFraction
Option D
10

What is the product?

Question illustration
A
StartFraction k + 1 Over k squared EndFraction
Option A
B
StartFraction k minus 1 Over k squared EndFraction
Option B
C
StartFraction negative 1 Over k EndFraction
Option C
D
StartFraction 1 Over k EndFraction
Option D
11

Which graph shows the solution set of ?

Question illustration
A
mc017-2.jpg
Option A
B
mc017-3.jpg
Option B
C
mc017-4.jpg
Option C
D
mc017-5.jpg
Option D
12

Which is the simplified form of ? Assume .

Question illustration
A
StartFraction b cubed Over 8 a Superscript 18 Baseline EndFraction
Option A
B
StartFraction b squared Over 8 a Superscript 45 Baseline EndFraction
Option B
C
StartFraction a Superscript 6 Baseline Over 4 b EndFraction
Option C
D
StartFraction 2 a Superscript 6 Baseline Over b Superscript 5 Baseline EndFraction
Option D
13

Which inequality is equivalent to ?

Question illustration
A
mc005-2.jpg
Option A
B
mc005-3.jpg
Option B
C
mc005-4.jpg
Option C
D
mc005-5.jpg
Option D
14

Which expression is equivalent to the expression below?

Question illustration
A
StartFraction 3 c (2 c minus 1) Over 2 c + 1 EndFraction
Option A
B
StartFraction negative 3 c (2 c + 1) squared Over 4 (2 c minus 1) squared EndFraction
Option B
C
3c
D
–3c
15

Which expression is equivalent to ? Assume .

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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