AnswersFL-1200330-Algebra 2 Sem 2 - FlexGraphing 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%.
11

Frank joined a fitness club. He paid a $50 registration fee, and dues are $12 per month. Which expression can be used to find the average monthly cost of an x-month membership at the club?

Question illustration
A
mc009-1.jpg
Option A
B
mc009-2.jpg
Option B
C
mc009-3.jpg
Option C
D
mc009-4.jpg
Option D
12

What are the equations of the asymptotes of the graph of the function ?

Question illustration
A
x = –5, x = 2 and y = 3
B
x = –2, x = 5 and y = 3
C
x = 3, y = –5, and y = 2
D
x = 3, y = –2, and y = 5
13

The function models y, the average annual cost in dollars of owning a car for x years. Which statement best explains why the graph of should have a vertical asymptote at x = 0?

Question illustration
A
The value of the car decreases over time.
B
The value of the car will never dip below $0.
C
The time the car is owned is greater than 0.
D
The initial cost of the car is greater than $0.
14

How does the range of compare with the range of the parent function ?

Question illustration
A
The range of both f(x) and g(x) is all real numbers
B
The range of both f(x) and g(x) is all nonzero real numbers
C
The range of f(x) is all real numbers, the range of g(x) is all real numbers except 6
D
The range of f(x) is all nonzero real numbers, the range of g(x) is all real numbers except 6
15

How does the graph of compare to the graph of the parent function ?

Question illustration
A
g(x) is shifted 5 units left and 2 units up from f(x).
B
g(x) is shifted 5 units right and 2 units up from f(x).
C
g(x) is shifted 5 units left and 2 units down from f(x).
D
g(x) is shifted 5 units right and 2 units down from f(x).
16

A 22,800-gallon swimming pool is being filled by four hoses. Water flows through each hose at a rate of 300 gallons per hour. How many hours will it take to fill the pool?

A
19 hours
B
76 hours
C
152 hours
D
304 hours
17

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 = 0, and the horizontal asymptote is at y = 1.
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 = 1, and the horizontal asymptote is at y = 0.
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 = 0.
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 = 0, and the horizontal asymptote is at y = negative 1.
Option D
18

Which statement describes the domain of the function ?

Question illustration
A
all real numbers
B
all nonzero real numbers
C
all real numbers except x =
Option C
D
all real numbers except x = –1 and x = 1
19

What is the domain of ?

Question illustration
A
all real numbers
B
all nonzero numbers
C
all real numbers except 1
D
all real numbers except 3
20

The game commission introduces 200 white-tailed deer into a newly acquired national game and wildlife park. The population of the herd is modeled by the graph of the rational function below, where time is measured in years. Which statement about the population is true?

Question illustration
A
The graph shows that the population of deer will eventually be 0.
B
The rate at which the population of deer grows decreases as it approaches 1,500.
C
The graph shows that the population of deer decreases over time.
D
The rate at which the population of deer grows increases as it approaches 1,500.

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