AnswersCrowley Credit Recovery Algebra II APerformance Task: Going on a Round Trip

Performance Task: Going on a Round Trip — Unit test Answers

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The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ?

Question illustration
A
u(x) 0 and v(x) 2
Option A
B
x 0 and x cannot be any value for which u(x) 2
Option B
C
x 2 and x cannot be any value for which v(x) 0
Option C
D
u(x) 2 and v(x) 0
Option D
2
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What is the domain of the relation graphed below?

Question illustration
A
domain:
Option A
B
domain:
Option B
C
domain:
Option C
D
domain:
Option D
3

The formula for the volume of a pyramid is Which of the following equations is equivalent to the given formula?

Question illustration
A
uppercase B = StartFraction 3 uppercase V Over h EndFraction
Option A
B
uppercase B = StartFraction 3 h Over uppercase V EndFraction
Option B
C
uppercase B = StartFraction uppercase V minus one-third Over h EndFraction
Option C
D
uppercase B = StartFraction uppercase V + one-third Over h EndFraction
Option D
4

If the function has an inverse function, which statement must be true?

Question illustration
A
b not-equals 0
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Which of the following is an odd function?

A
g(x) = x2
B
g(x) = 5x – 1
C
g(x) = 3
D
g(x) = 4x
6

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

A
–18
B
–4
C
16
D
42
7

Which graph represents the same relation as the set ?

Question illustration
A
A coordinate plane has 3 points. The points are (negative 3, 2), (3, negative 2), (5, 5).
Option A
B
A coordinate plane has 4 points. The points are (negative 3, 2), (3, negative 2), (3, 3), (5, 5).
Option B
C
A coordinate plane has 7 points. The points are (negative 3, 0), (0, 5), (0, 3), (0, 2), (0, negative 2), (3, 0), (5, 0).
Option C
D
A coordinate plane has 4 points. The points are (negative 2, 3), (2, negative 3), (3, 3), (5, 5).
Option D
8

Harlon wrote the equation to find the area of a rectangle that has a length of and a width of 18. He solved for x and got Which of the following is an equivalent equation for x?

Question illustration
A
x = plus-or-minus StartRoot StartFraction uppercase A minus 18 Over 18 EndFraction EndRoot
Option A
B
x = plus-or-minus StartRoot StartFraction uppercase A + 18 Over 18 EndFraction EndRoot
Option B
C
x = plus-or-minus StartRoot uppercase A minus 36 EndRoot
Option C
D
x = plus-or-minus StartRoot uppercase A + 36 EndRoot
Option D
9

For which pair of functions is ?

Question illustration
A
f(x) = 3 – 4x and g(x) = 16x – 3
B
f(x) = 6x2 and
Option B
C
and g(x) = 144x
Option C
D
f(x) = 4x and g(x) = 3x
10

Which statement best describes how to determine whether f(x) = x2 – x + 8 is an even function?

A
Determine whether –x2 – (–x) + 8 is equivalent to x2 – x + 8.
B
Determine whether (–x)2 – (–x) + 8 is equivalent to x2 – x + 8.
C
Determine whether –x2 – (–x) + 8 is equivalent to –(x2 – x + 8).
D
Determine whether (–x)2 – (–x) + 8 is equivalent to –(x2 – x + 8).
11

Which relation below represents a one-to-one function?

A
A 2-column table has 5 rows. The first column is labeled x with entries 5, 14, 7, 13, 12. The second column is labeled f (x) with entries 26, 197, 50, 170, 197.
Option A
B
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 5, 2, 1, 2, 5.
Option B
C
A 2-column table has 5 rows. The first column is labeled x with entries 7.25, 7.5, 7.75, 8, 8.5. The second column is labeled f (x) with entries 11, 13, 15, 13, 11.
Option C
D
A 2-column table has 5 rows. The first column is labeled x with entries 9, 2, 4, 1, 5. The second column is labeled f (x) with entries 12, 7, 9, 13, 5.
Option D
12

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

Question illustration
A
all real values of x
B
all real values of x except x = 5
C
all real values of x except x = –5
D
all real values of x except x = 5 and x = –5
13

Celo used the simple interest formula to calculate the interest he earned on his savings last month. Which equation is equivalent to the simple interest formula?

Question illustration
A
uppercase P = StartFraction uppercase A Over 1 + r t EndFraction
Option A
B
uppercase P = StartFraction 1 + r t Over uppercase A EndFraction
Option B
C
uppercase P = uppercase A minus (1 + r t)
Option C
D
uppercase P = uppercase A + (1 + r t)
Option D
14

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?

Question illustration
A
Two-fifths
Option A
B
1
C
2
D
Five-halves
Option D
15

The formula to determine energy is . What is the formula solved for v?

Question illustration
A
v = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot
Option A
B
v = 2 uppercase E minus m
Option B
C
v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot
Option C
D
v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot
Option D
16

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

A
The pool must have been empty for the entire interval.
B
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
C
The pool must have been deeper at the end of the interval than it was at the start of the interval.
D
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
17

Which function is the inverse of ?

Question illustration
A
f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

For what value of is the function one-to-one?

Question illustration
A
2
B
5
C
11
D
13
19

A cashier earns $7 an hour. If x is the number of hours worked, which function represents the cashier’s earnings?

A
y = 7x
B
y = x Superscript 7
Option B
C
y = StartFraction 7 Over x EndFraction
Option C
D
y = 7
Option D
20

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ?

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

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