Answers25-26 Lusk -- Algebra 2 - 4th Nine WeeksUnit Test

Unit Test — Unit test Answers

25 verified answers6 views
1
Free Preview

A city manager made the graph below to represent the number of passengers that city buses can carry, where the number of passengers is represented by x, and the number of buses by y.If all city buses carry the same number of passengers, what is the least number of buses needed to carry 710 passengers?

Question illustration
A
5
B
10
C
11
D
12
2
Free Preview

The height of a toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function , where t is the time in seconds since the rocket was shot and f(t) is the rocket’s height in feet. What is the maximum height the rocket reaches?

Question illustration
A
16 ft
B
36 ft
C
48 ft
D
144 ft
3

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, n (in millions), being produced in t years?

A
,
Option A
B
n = 1.5 t squared + 1.25
Option B
C
n = 1.5 t + 1.25
Option C
D
n = 1.25 times 2.5 Superscript t
Option D
4

When p = 12, t = 2, and s = , r = 18. If r varies directly with p and inversely with the product of s and t, what is the constant of variation?

Question illustration
A
One-eighth
Option A
B
One-half
Option B
C
Four and one-half
Option C
D
18
5

The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?

A
f(x ) = x – |42.67|
B
f(x ) = |x| – 42.67
C
f(x ) = |42.67 – x|
D
f(x ) = 42.67 – |x|
6

Which piecewise relation defines a function?

A
mc008-1.jpg
Option A
B
mc008-2.jpg
Option B
C
mc008-3.jpg
Option C
D
mc008-4.jpg
Option D
7

Let and . The graph of is shown below. What is the range of ?

Question illustration
A
y > 0
B
all real numbers except y = 0
C
mc023-6.jpg
Option C
D
all real numbers
8

The kinetic energy, K, of an object varies jointly with its mass, m, and the square of its velocity, v. The mass of an object stays the same, but the velocity of the object is halved. How is the kinetic energy of the object affected?

A
The kinetic energy is quartered.
B
The kinetic energy is halved.
C
The kinetic energy is doubled.
D
The kinetic energy is quadrupled.
9

If , what is f(5.9)?

Question illustration
A
9
B
10
C
11
D
12
10

A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?

A
15.15 oz to 16.00 oz
B
15.85 oz to 16.00 oz
C
15.85 oz to 16.15 oz
D
16.15 oz to 16.45 oz
11

Jamilla solved the inequality and graphed the solution as shown below. What is the value of b and the missing symbol in Jamilla’s inequality?

Question illustration
A
b = –1,
Option A
B
b = –1,
Option B
C
b = 1,
Option C
D
b = 1,
Option D
12

The equation of the piecewise defined function f(x) is below. What is the value of f(1)?

Question illustration
A
f(1) = –2
B
f(1) = –1
C
f(1) = 2
D
f(1) = 3
13

Let and . What are the domain and range of ?

Question illustration
A
domain: x > 0range: y < 0
B
domain: x > 3range: y > 0
C
domain: all real numbersrange: y < 0
D
domain: all real numbersrange: y > 0
14

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range: (0,)
Option B
C
domain: range:
Option C
D
domain: range:
Option D
15

Elise, Jake, Malik, and Xiao each solved the same inequality.Elise’s WorkJake’s WorkMalik’s WorkXiao’s Workno solutionall real numbersWhose work is correct?

Question illustration
A
Elise’s work
B
Jake’s work
C
Malik’s work
D
Xiao’s work
16

How is the graph of transformed to produce the graph of ?

Question illustration
A
The graph is translated left 5 units, compressed vertically by a factor of , and translated up 3 units.
Option A
B
The graph is stretched vertically by a factor of , translated left 5 units, and translated up 3 units.
Option B
C
The graph is translated left 5 units, compressed horizontally by a factor of , and translated down 3 units.
Option C
D
The graph is stretched horizontally by a factor of , translated left 5 units, and translated down 3 units.
Option D
17

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach infinity. To which family of functions might the described function belong?

A
reciprocal
B
square root
C
exponential
D
quadratic
18

When graphing the function on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?

Question illustration
A
Xmin: –10, Xmax: 10Ymin: –10, Ymax: 10
B
Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20
C
Xmin: –5, Xmax: 5Ymin: –20, Ymax: 20
D
Xmin: –10, Xmax: 10Ymin: –5, Ymax: 5
19

What is the vertex of the absolute value function below?

Question illustration
A
(4, –1)
B
(1, –4)
C
(1, 4)
D
(4, 1)
20

Which statement is true about ?

Question illustration
A
The graph of f(x) has a vertex of (–4, 6).
B
The graph of f(x) is a horizontal stretch of the graph of the parent function.
C
The graph of f(x) opens upward.
D
The graph of f(x) has a domain of x –6.
Option D

Did you find these answers helpful?

More from this Course

RC
25 verified answers

Cumulative Exam

Quiz
50 verified answers

Cumulative Exam

Unit Test — Unit test Answers — 25-26 Lusk …