AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Graphing Rational Functions

Graphing Rational Functions Answers

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1
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What is the horizontal asymptote of ?

Question illustration
A
y = –2
B
y = –1
C
y = 0
D
y = 1
2
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What are the vertical and horizontal asymptotes of ?

Question illustration
A
horizontal asymptote at y = 0, vertical asymptote at x = 1
B
horizontal asymptote at y = 2, vertical asymptote at x = 1
C
horizontal asymptote at y = 1, vertical asymptote at x = 0
D
horizontal asymptote at y = 1, vertical asymptote at x = 2
3

Greg plans to purchase a bicycle. Bike A costs $270 and has an expected maintenance cost of $36 per year. Bike B costs $360 and has an expected maintenance cost of $20 per year. Which statement is true based on the average annual cost of each bike?

A
Bike A is the better choice if Greg plans on owning the bike for 5 years or 6 years.
B
Bike B is the better choice if Greg plans on owning the bike for 5 years or 6 years.
C
Bike A is the better choice if Greg plans on owning the bike for 5 years. Bike B is the better choice if Greg plans on owning the bike for 6 years.
D
Bike B is the better choice if Greg plans on owning the bike for 5 years. Bike A is the better choice if Greg plans on owning the bike for 6 years.
4

The teachers’ editions of a statistics textbook sell for $150 each, and students’ editions of the book sell for $50 each. Which function can be used to find the average cost per book if two teachers’ editions and x students’ editions are purchased?

A
mc020-1.jpg
Option A
B
mc020-2.jpg
Option B
C
mc020-3.jpg
Option C
D
mc020-4.jpg
Option D
5

What is the domain of the function ?

Question illustration
A
all real numbers
B
all real numbers except –1
C
all real numbers except –4 and –2
D
all real numbers except 2 and 4
6

Craig bought a treadmill for $400. He estimates that the annual costs to maintain the machine will be $36. Which rational function yields the average annual cost in dollars of owning the treadmill for x years?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Which statement describes the behavior of the function ?

Question illustration
A
The graph approaches –3 as x approaches infinity.
B
The graph approaches 0 as x approaches infinity.
C
The graph approaches 3 as x approaches infinity.
D
The graph approaches 4 as x approaches infinity.
8

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 = 1, and the horizontal asymptote is at y = negative 4.
Option A
B
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 1, and the horizontal asymptote is at y = negative 4.
Option B
C
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 1, and the horizontal asymptote is at y = 4.
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 quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
Option D
9

What is the horizontal asymptote of the function ?

Question illustration
A
y = 0
B
y = 1
C
y = 2
D
y = 3
10

A pharmacist has 80 milliliters of a 30% saline solution. The graph shows the percentage concentration after adding x milliliters of a 10% saline solution. Which statement is true about the graph of the function?

Question illustration
A
The vertical asymptote x = 30 means the concentration will always be less than 30%.
B
The vertical asymptote x = 10 means the volume will always be greater than 10 milliliters.
C
The y-intercept means the concentration will remain 30% if no solution is added.
D
The y-intercept means the concentration will always be less than 30%.

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