AnswersOK-Algebra II - Sem B -CA- 35031BUnit Test

Unit Test — Unit test Answers

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1
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What is the domain of the function graphed below?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
2
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The function is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the time in seconds. What are the domain and range of the function h(t)? Round values to the nearest hundredth.

Question illustration
A
domain: [0, 3.85]range: [0, 18.05]
B
domain: range: [1.9,18.05]
Option B
C
domain: [0, 3.85]range: [1.9,18.05]
D
domain: range: [0, 18.05]
Option D
3

Daniel is on an airplane flying to a destination 825 miles away. After one hour, the pilot announces that the plane is 495 miles away from its destination airport. In another hour, the pilot announces that the plane will begin its half-hour descent for the final 165 miles.

A
d = 825 – 165t
B
d = 825 – 330t
C
d = 825 + 165t
D
d = 825 + 330t
4

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
5

Review the table showing the height of a drooping rope in terms of horizontal distance from its left end.Horizontal Distance (ft)Height (ft)030.52.512.252232.253.52.543

A
a = 0.248, b = 0.994, c = 2.979
B
a = 0.248, b = 0.994, c = 2.979
C
a = 2.979, b = 0.994, c = 0.248
D
a = 2.979, b = 0.994, c = 0.248
E
a = 0.248, b = –0.994, c = 2.979
F
a = 0.248, b = –0.994, c = 2.979
G
a = 2.979, b = –0.994, c = 0.248
H
a = 2.979, b = –0.994, c = 0.248
6

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
7

The team mascot shoots a rolled T-shirt from a special T-shirt cannon to a section of people in the stands at a basketball game. The T-shirt starts at a height of 8 feet when it leaves the cannon and 1 second later reaches a maximum height of 24 feet before coming back down to a lucky winner.

A
f(t) = –16(t – 1)2 + 24
B
f(t) = –16(t + 1)2 + 24
C
f(t) = –16(t – 1)2 – 24
D
f(t) = –16(t + 1)2 – 24
8

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
y = x cubed minus 4
Option A
B
y = (x minus 4) cubed
Option B
C
y = (negative x minus 4) cubed
Option C
D
y = (negative x) cubed minus 4
Option D
9

Which scatterplot has a correlation coefficient closest to r = –1?

A
mc023-1.jpg
Option A
B
mc023-2.jpg
Option B
C
mc023-3.jpg
Option C
D
mc023-4.jpg
Option D
10

Which of the following accurately shows the range of the function defined below?

Question illustration
A
mc025-2.jpg
Option A
B
mc025-3.jpg
Option B
C
[3, 6]
D
mc025-4.jpg
Option D
11

What are the domain and range of the step function below?

Question illustration
A
domain = {all real numbers}, range = {all real numbers}
B
domain = {all real numbers}, range = {...–4, –1, 2, 5, ...}
C
domain = {...–5, –2, 1, 4, ...}, range = {...–4, –1, 2, 5, ...}
D
domain = {all integers}, range = {all real numbers}
12

The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the labeled points to create a linear model. About what distance in feet (y) would a person be 8 seconds after the experiment begins?

Question illustration
A
21 ft
B
27 ft
C
30 ft
D
57 ft
13

Review the table showing the height of water in a pier.Time (Hours)Height (Feet)1142.5164.5185.5197.518101615162018.6

A
y =
B
y =
C
y = 15.2 + 0.98 ln x
D
y = 15.2 + 0.98 ln x
E
y = –0.01x2 + 0.3x + 15.4
F
y = –0.01x2 + 0.3x + 15.4
G
y = –2.4 sin(–0.5x + 20.4) + 16.5
H
y = –2.4 sin(–0.5x + 20.4) + 16.5
14

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
15

The population of a city, y, in thousands of people, measured x years after 1800 can be modeled by the regression equation y = . Which statement best interprets a value in the equation?

Question illustration
A
The city population in 1800 was 187,600 people.
B
The city population grows by 29,400 people per year.
C
The limiting value of the city population is 29,400 people.
D
The limiting value of the city population is 187,600 people.
16

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
17

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
18

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
19

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
20

The exponential regression equation y = 307.60(1.11)x models the dollar value of a retirement fund after x years.Which is the best estimate for the value of the retirement fund after 6 years, if no additional deposits or withdrawals are made?

A
$310
B
$310
C
$580
D
$580
E
$1,880
F
$1,880
G
$2,050
H
$2,050

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