AnswersAlgebra II Honors AThe Cube Root Function

The Cube Root Function — Unit test Answers

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Which times and distances are represented by the function? Select three options.

A
The starting distance, at 0 hours, is 300 miles.
B
At 2 hours, the traveler is 725 miles from home.
C
At 2.5 hours, the traveler is still moving farther from home.
D
At 3 hours, the distance is constant, at 875 miles.
E
The total distance from home after 6 hours is 1,062.5 miles.
2
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Which statement is true about the function f(x) = ?

Question illustration
A
It has the same domain as the function f(x) = .
Option A
B
It has the same range as the function f(x) = .
Option B
C
It has the same domain as the function f(x) = .
Option C
D
It has the same range as the function f(x) = .
Option D
3

Which statement best describes and the parent function ?

Question illustration
A
The domains of g(x) and f(x) are the same, but their ranges are not the same.
B
The ranges of g(x) and f(x) are the same, but their domains are not the same.
C
The ranges of g(x) and f(x) are the same, and their domains are also the same.
D
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
4

Which is the graph of the function f(x) =

Question illustration
A
Option
B
Option
C
Option
D
Option
5

Question text not available

Question illustration
A
The range of the transformed function and the parent function are both all real numbers greater than or equal to 4.
B
The domain of the transformed function is all real numbers and is, therefore, different from that of the parent function.
C
The range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function.
D
The domain of the transformed function and the parent function are both all real numbers.
6

If f(x) = , what is f(7.6)?

Question illustration
A
3
B
3.5
C
3.8
D
4
7

Which graph shows a function with a range of all real numbers greater than or equal to –1?

A
Option
B
Option
C
Option
D
Option
8

Which table represents points on the graph of h(x) = ?

Question illustration
A
A 2-row table has 5 columns. The first row is labeled x with entries negative 8, negative 1, 0, 1, 8. The second row is labeled y with entries 4, 3, 2, 1, 0.
Option A
B
A 2-row table has 5 columns. The first row is labeled x with entries negative 2, negative 1, 0, 1, 2. The second row is labeled y with entries 10, 3, 2, 1, negative 6.
Option B
C
A 2-row table has 5 columns. The first row is labeled x with entries negative 6, 1, 2, 3, 10. The second row is labeled y with entries 2, 1, 0, negative 1, negative 2.
Option C
D
A 2-row table has 5 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0. The second row is labeled y with entries negative 8, negative 1, 0, 1, 8.
Option D
9

Question text not available

Question illustration
A
Both the domain and range of the transformed function are the same as those of the parent function.
B
Neither the domain nor the range of the transformed function are the same as those of the parent function.
C
The range of the transformed function is the same as the parent function, but the domains of the functions are different.
D
The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.
10

The function f(x)= – is shown on the graph.

Question illustration
A
The range of the graph is all real numbers greater than or equal to 0.
B
The domain of the graph is all real numbers greater than or equal to 0.
C
The range and domain of the graph are the same.
D
The domain of the graph is all real numbers.
11

The graph shows a vertical translation of y = .

Question illustration
A
{y|y < 0}
B
{y|y ≥ 0}
C
{y|y is a natural number}
D
{y|y is a real number}
12

Which statement is true about the function f(x)= –?

Question illustration
A
The domain of the function is all negative real numbers.
B
The range of the function is all positive real numbers.
C
The domain and range of the function have opposite signs.
D
The domain and range of the function are the same.
13

Question text not available

Question illustration
A
all real numbers
B
all real numbers less than or equal to −4
C
all real numbers greater than or equal to 1
D
all real numbers greater than or equal to −4
14

The graph represents the cost of catering a dinner as a function of the number of guests.

Question illustration
A
$400
B
$600
C
$700
D
$800
15

Nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function.What is the value of y when x=5.7?

A
5
B
5.50
C
5.75
D
6

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