Answers2627 ALGEBRA II AFunction Inverses

Unit 2 Part 1 TEST: Graphs and Functions Answers

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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
2
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If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

A
5(4 + 4) – 6
B
5(5(4) – 6) – 6
C
54 – 6 + 54 – 6
D
5(4) – 6 + 5(4) – 6
3

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
4

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
5

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
6

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
7

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
8

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
9

If and , what is the degree of ?

Question illustration
A
2
B
3
C
5
D
6
10

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.
11

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

Question illustration
A
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).
Option A
B
On a coordinate plane, a curve opens down and to the left in quadrant 2. The curve starts at (0, 0) and gradually curves through (negative 4, 2).
Option B
C
On a coordinate plane, a curve opens open and to the left in quadrant 3. The curve starts at (0, 0) and curves gradually through (negative 4, negative 2).
Option C
D
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up through (4, 1).
Option D
12

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
13

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

Question illustration
A
mc016-2.jpg
Option A
B
mc016-3.jpg
Option B
C
mc016-4.jpg
Option C
D
mc016-5.jpg
Option D
14

The height in feet, h, of a model rocket t seconds after launch is given by the equation . The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Question illustration
A
The rocket is traveling six times as fast when t = 3 than it is when t = 1.
B
The rocket is at a greater height when t = 3 than it is when t = 1.
C
The rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.
D
The rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.
15

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
16

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
17

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
18

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
19

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

Question illustration
A
2
B
5
C
11
D
13
20

The area of a trapezoid can be found using the formula , where B(x) is the sum of the bases and h(x) is the height.Which graph could include the functions?

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

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