Unit Test Answers

Black Marble Points

S

Since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.

E

E(red) will be twice that of E(black), so Seth should choose to play red marbles.

S

Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.

B

Both options will lose points because there are two ways to lose points and only one way to gain points. He should choose neither color.

A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue = price number of backpacks.)

A

$9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.

B

$12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.

C

$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.

D

$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.

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?

A

Elise’s work

B

Jake’s work

C

Malik’s work

D

Xiao’s work

The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.

A

no real number solutions

B

one real number solution

C

two real number solutions

D

three real number solutions

Which statement is true about ?

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.

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 2)3 – 3. Which is the graph of g(x), the translated function?

A

Option

B

Option

C

Option

D

Option

The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.

A

no real number solutions

B

one real number solution

C

two real number solutions

D

three real number solutions

Edmundo used a number line to show the solution for the inequality . Which number line shows the solution?

A

mc023-2.jpg

B

mc023-3.jpg

C

mc023-4.jpg

D

mc023-5.jpg

4

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|

4

Which is the graph of the function f(x) = x3 + x2 + x + 1?

A

Option

B

Option

C

Option

D

Option

4

What is the vertex of the absolute value function below?

A

(4, –1)

B

(1, –4)

C

(1, 4)

D

(4, 1)

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

A

The graph is translated left 5 units, compressed vertically by a factor of , and translated up 3 units.

B

The graph is stretched vertically by a factor of , translated left 5 units, and translated up 3 units.

C

The graph is translated left 5 units, compressed horizontally by a factor of , and translated down 3 units.

D

The graph is stretched horizontally by a factor of , translated left 5 units, and translated down 3 units.

Which is the graph of the function f(x) = 2x3 – 7x2 + 2x + 3?

A

Option

B

Option

C

Option

D

Option

Which graph represents the function f(x) = 4|x|?

A

Option

B

Option

C

Option

D

Option

Which is the graph of the function f(x) = x3 + x2 + 4?

A

Option

B

Option

C

Option

D

Option

6

Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Select three options.–2.11–1.86–0.250.252.11

A

–2.11

B

–1.86

C

–0.25

D

0.25

E

2.11

6

Which could be the graph of f(x) = |x - h| + k if h and k are both positive?

A

Option

B

Option

C

Option

D

Option

6

The graph of f(x) = x3 − 7x − 6 is shown.

A

x = −6

B

x = −2, −1

C

x = −2, −1, 3

D

x = −6, −2, −1, 3

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

Which is the graph of the function f(x) = x3 + x2 + 4?

A

Option

B

Option

C

Option

D

Option

On a coordinate plane, an absolute value graph has a vertex at (1, 3).

A

g(x) = |x + 1| + 3

B

g(x) = |x + 3| – 1

C

g(x) = |x – 1| + 3

D

g(x) = |x + 3| + 1

The graph of f(x) = x3 + x2 – 9x – 9 is shown.

A

x = –1, 3

B

x = –3, –1

C

x = –3, –1, 3

D

x = –9, –3, –1, 3

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.

A

domain: [0, 3.85]range: [0, 18.05]

B

domain: range: [1.9,18.05]

C

domain: [0, 3.85]range: [1.9,18.05]

D

domain: range: [0, 18.05]

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x – 1)3 + 2. Which is the graph of g(x), the translated function?

A

Option

B

Option

C

Option

D

Option

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.

A

domain: [0, 3.85]range: [0, 18.05]

B

domain: range: [1.9,18.05]

C

domain: [0, 3.85]range: [1.9,18.05]

D

domain: range: [0, 18.05]

Which statement is true about ?

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.

Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options.There are three unique solutions to the function when y=0.The function has a double root.As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.As x approaches negative infinity, y approaches positive infinity.The domain and range of the function are the set of real numbers.

A

There are three unique solutions to the function when y=0.

B

The function has a double root.

C

As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.

D

As x approaches negative infinity, y approaches positive infinity.

E

The domain and range of the function are the set of real numbers.

What are the domain and range of the function ?

A

domain: range:

B

domain: range:

C

domain: range:

D

domain: range:

The graph of f(x) = x3 + x2 – 9x – 9 is shown.

A

x = –1, 3

B

x = –3, –1

C

x = –3, –1, 3

D

x = –9, –3, –1, 3

Question text not available

A

all real numbers

B

all real numbers less than or equal to 3

C

all real numbers less than or equal to –3

D

all real numbers greater than or equal to –3

The graph of the parent function f(x) = x3 is transformed such that . Which statements about the graph of g(x) are accurate? Select three options.The graph does not pass through the origin.As x approaches negative infinity, the graph of g(x) approaches infinity.As x approaches infinity, the graph of g(x) approaches infinity.The domain of the function is all real numbers.The range of the function is all real numbers.

A

The graph does not pass through the origin.

B

As x approaches negative infinity, the graph of g(x) approaches infinity.

C

As x approaches infinity, the graph of g(x) approaches infinity.

D

The domain of the function is all real numbers.

E

The range of the function is all real numbers.

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?

A

b = –1,

B

b = –1,

C

b = 1,

D

b = 1,

Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?

A

As x increases, y increases along the entire graph.

B

As x increases, y increases, decreases, and then increases again.

C

As x increases, y decreases, increases, and then decreases again.

D

As x increases, y decreases along the entire graph.

Question text not available

A

–1

B

Option

C

1

D

4

Which statements correctly describe the graph of the function f(x) = x3 – 2x2 – 19x + 20? Select three options.As the x-values increase, the y-values always increase. As x approaches negative infinity, y approaches negative infinity.The domain of the function is all real numbers.The range of the function is y 20.The graph has a positive y-intercept.

A

As the x-values increase, the y-values always increase.

B

As x approaches negative infinity, y approaches negative infinity.

C

The domain of the function is all real numbers.

D

The range of the function is y 20.

E

The graph has a positive y-intercept.

Question text not available

A

f(x) = −2|x| + 1

B

f(x) = |x| + 1

C

f(x) = -2|x + 1|

D

f(x) = |x + 1|

The graph of f(x) = x3 – 6x2 + 9x is shown.

A

x = 3

B

x = –3, 0

C

x = 0, 3

D

x = –3, 0, 3

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|

The graph of the parent function f(x) = x3 is transformed such that g(x) = f(–2x3). How does the graph of g(x) compare to the graph of f(x)?

A

g(x) is stretched horizontally and reflected over the y-axis.

B

g(x) is stretched horizontally and reflected over the x-axis.

C

g(x) is compressed horizontally and reflected over the y-axis.

D

g(x) is compressed horizontally and reflected over the x-axis.

A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue = price number of backpacks.)

A

$9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.

B

$12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.

C

$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.

D

$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.

Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options.There are three unique solutions to the function when y=0.The function has a double root.As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.As x approaches negative infinity, y approaches positive infinity.The domain and range of the function are the set of real numbers.

A

There are three unique solutions to the function when y=0.

B

The function has a double root.

C

As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.

D

As x approaches negative infinity, y approaches positive infinity.

E

The domain and range of the function are the set of real numbers.

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

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

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

Which is the graph of the function f(x) = 2x3 – 7x2 + 2x + 3?

A

Option

B

Option

C

Option

D

Option

13

The graph of the parent function f(x) = x3 is transformed such that g(x) = f(–2x3). How does the graph of g(x) compare to the graph of f(x)?

A

g(x) is stretched horizontally and reflected over the y-axis.

B

g(x) is stretched horizontally and reflected over the x-axis.

C

g(x) is compressed horizontally and reflected over the y-axis.

D

g(x) is compressed horizontally and reflected over the x-axis.

13

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?

A

b = –1,

B

b = –1,

C

b = 1,

D

b = 1,

13

Graph the function y=x3+6x2+2x-11. Based on the graph, what is the largest possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.

A

1.11

B

1.9

C

5.2

D

13.2

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

,

B

n = 1.5 t squared + 1.25

C

n = 1.5 t + 1.25

D

n = 1.25 times 2.5 Superscript t

Graph the function y=x3+6x2+2x-11. Based on the graph, what is the largest possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.

A

1.11

B

1.9

C

5.2

D

13.2

What is the solution to the inequality ?

A

–3 > n > –2

B

2 < n < 3

C

n < –3 or n > –2

D

n < 2 or n > 3

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A

(4, −7)

B

(−4, −7)

C

(4, 7)

D

(−4, 7)

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?

A

Elise’s work

B

Jake’s work

C

Malik’s work

D

Xiao’s work

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A

(4, −7)

B

(−4, −7)

C

(4, 7)

D

(−4, 7)

Which graph represents the function p(x) = |x – 1|?

A

Option

B

Option

C

Option

D

Option

The graph of f(x) = x3 – 6x2 + 9x is shown.

A

x = 3

B

x = –3, 0

C

x = 0, 3

D

x = –3, 0, 3

On a coordinate plane, an absolute value graph has a vertex at (1, 3).

A

g(x) = |x + 1| + 3

B

g(x) = |x + 3| – 1

C

g(x) = |x – 1| + 3

D

g(x) = |x + 3| + 1

Which is the graph of the function f(x) = x3 + 6x2 + 11x + 6?

A

Option

B

Option

C

Option

D

Option

Which graph represents the function f(x) = |x| – 4?

A

On a coordinate plane, an absolute value graph has a vertex at (0, 4).

B

On a coordinate plane, an absolute value graph has a vertex at (negative 4, 0).

C

On a coordinate plane, an absolute value graph has a vertex at (0, negative 4).

D

On a coordinate plane, an absolute value graph has a vertex at (4, 0).

What are the domain and range of the function ?

A

domain: range:

B

domain: range:

C

domain: range:

D

domain: range:

Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?

A

As x increases, y increases along the entire graph.

B

As x increases, y increases, decreases, and then increases again.

C

As x increases, y decreases, increases, and then decreases again.

D

As x increases, y decreases along the entire graph.

Question text not available

A

all real numbers

B

all real numbers less than or equal to 3

C

all real numbers less than or equal to –3

D

all real numbers greater than or equal to –3

The graph of f(x) = x3 – 3x2 + 4 is shown.

A

no real number solution

B

one real number solution

C

two real number solutions

D

three real number solutions

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A

(7, 9)

B

(–7, 9)

C

(9, 7)

D

(9, –7)

Question text not available

A

f(x) = |x| – 3

B

f(x) = |x + 2|

C

f(x) = 0.5|x|

D

f(x) = 4|x|

Which compound inequality is equivalent to the absolute value inequality ?

A

–6 > b and b > 6

B

b > –6 or b < 6

C

–6 < b and b > 6

D

b < –6 or b > 6

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10).

A

g(x) = |x – 4| – 10

B

g(x) = |x + 4| – 10

C

g(x) = |x – 10| + 4

D

g(x) = |x + 10| – 4

Which graph represents the function f(x) = |x| – 4?

A

On a coordinate plane, an absolute value graph has a vertex at (0, 4).

B

On a coordinate plane, an absolute value graph has a vertex at (negative 4, 0).

C

On a coordinate plane, an absolute value graph has a vertex at (0, negative 4).

D

On a coordinate plane, an absolute value graph has a vertex at (4, 0).

The graph of the parent function f(x) = x3 is transformed such that . Which statements about the graph of g(x) are accurate? Select three options.The graph does not pass through the origin.As x approaches negative infinity, the graph of g(x) approaches infinity.As x approaches infinity, the graph of g(x) approaches infinity.The domain of the function is all real numbers.The range of the function is all real numbers.

A

The graph does not pass through the origin.

B

As x approaches negative infinity, the graph of g(x) approaches infinity.

C

As x approaches infinity, the graph of g(x) approaches infinity.

D

The domain of the function is all real numbers.

E

The range of the function is all real numbers.

What are the domain and range of the function ?

A

domain: range:

B

domain: range: (0,)

C

domain: range:

D

domain: range:

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x – 1)3 + 2. Which is the graph of g(x), the translated function?

A

Option

B

Option

C

Option

D

Option

Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?

A

x = –1, x = 11

B

x = –1, x = –11

C

x = 14, x = –26

D

x = 26, x = –14

Question text not available

A

f(x) = –|x| + 1

B

f(x) = –|x – 1|

C

f(x) = |–x| + 1

D

f(x) = |–x – 1|

Question text not available

A

f(x) = 1.3|x| – 2

B

f(x) = 3|x – 2|

C

f(x) = |x – 2|

D

f(x) = |x| + 2

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?

A

16 ft

B

36 ft

C

48 ft

D

144 ft

The parent function f(x) = x3 and a translation, g(x), are shown on the graph.

A

g(x) = (x + 4)3 + 6

B

g(x) = (x – 4)3 + 6

C

g(x) = (x + 6)3 – 4

D

g(x) = (x – 6)3 – 4

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

,

B

n = 1.5 t squared + 1.25

C

n = 1.5 t + 1.25

D

n = 1.25 times 2.5 Superscript t

The graph of f(x) = x3 – 3x2 + 4 is shown.

A

no real number solution

B

one real number solution

C

two real number solutions

D

three real number solutions

Given the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7?

A

x = –24, x = 16

B

x = –16, x = 24

C

x = –1, x = 9

D

x = 1, x = –9

What are the domain and range of f(x) = 2|x – 4|?

A

domain: x 2; range:

B

domain: ; range: f(x) 0

C

domain: ; range: f(x) 0

D

domain: x 2; range:

On any given day, the number of users, u, that access a certain website can be represented by the inequality . Which of the following represents the range of users that access the website each day?

A

or

B

mc026-4.jpg

C

or

D

mc026-7.jpg

Which graph represents the function f(x) = 4|x|?

A

Option

B

Option

C

Option

D

Option

The graph of f(x) = x3 − 7x − 6 is shown.

A

x = −6

B

x = −2, −1

C

x = −2, −1, 3

D

x = −6, −2, −1, 3

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?

A

16 ft

B

36 ft

C

48 ft

D

144 ft

Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Select three options.–2.11–1.86–0.250.252.11

A

–2.11

B

–1.86

C

–0.25

D

0.25

E

2.11

The absolute value function, f(x) = |x + 2|, is shown.

A

all real numbers

B

all real numbers greater than or equal to 0

C

all real numbers greater than or equal to –2

D

all real numbers less than or equal to –2

On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, negative 3.5).

A

h = –3.5

B

h = –1.5

C

h = 1.5

D

h = 3.5

The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. Which statement about the range of both functions is true?

A

The range is the same for both functions: {y | y is a real number}.

B

The range is the same for both functions: {y | y > 0}.

C

The range changes from {y | y > 0} to {y | y > 2}.

D

The range changes from {y | y > 0} to {y | y > 6}.

Which function is a translation of the parent absolute value function?

A

f(x) =

B

f(x) =

C

f(x) =

D

f(x) =

Edmundo used a number line to show the solution for the inequality . Which number line shows the solution?

A

mc023-2.jpg

B

mc023-3.jpg

C

mc023-4.jpg

D

mc023-5.jpg

Which statements correctly describe the graph of the function f(x) = x3 – 2x2 – 19x + 20? Select three options.As the x-values increase, the y-values always increase. As x approaches negative infinity, y approaches negative infinity.The domain of the function is all real numbers.The range of the function is y 20.The graph has a positive y-intercept.

A

As the x-values increase, the y-values always increase.

B

As x approaches negative infinity, y approaches negative infinity.

C

The domain of the function is all real numbers.

D

The range of the function is y 20.

E

The graph has a positive y-intercept.

Which is the graph of the function f(x) = x3 + 6x2 + 11x + 6?

A

Option

B

Option

C

Option

D

Option

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. What is the range of acceptable values?

A

42.668 mm to 42.670 mm

B

42.668 mm to 42.672 mm

C

42.670 mm to 42.672 mm

D

42.670 mm to 42.674 mm

Amber is solving the inequality by graphing. Which equations should Amber graph?

A

mc010-2.jpg

B

mc010-3.jpg

C

mc010-4.jpg

D

mc010-5.jpg

Question text not available

A

–1

B

Option

C

1

D

4

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A

(7, 9)

B

(–7, 9)

C

(9, 7)

D

(9, –7)

The parent function f(x) = x3 and a translation, g(x), are shown on the graph.

A

g(x) = (x + 4)3 + 6

B

g(x) = (x – 4)3 + 6

C

g(x) = (x + 6)3 – 4

D

g(x) = (x – 6)3 – 4

What is the domain of the absolute value function below?

A

x –4

B

x 2

C

mc010-4.jpg

D

mc010-5.jpg

Aaron solved an inequality and then graphed the solution as shown below. Which inequality did Aaron solve?

A

mc017-2.jpg

B

mc017-3.jpg

C

mc017-4.jpg

D

mc017-5.jpg

What is the solution to the inequality ?

A

–7 < x < –1

B

1 < x < 7

C

x < –7 or x < –1

D

x > 1 or x < 7

Which compound inequality is equivalent to for all real numbers a, b, and c, where ?

A

mc006-3.jpg

B

mc006-4.jpg

C

or

D

or

Which graph represents the function f(x) = –|x + 3|?

A

Option

B

Option

C

Option

D

Option

Which of the following represents the solution to the inequality ?

A

mc018-2.jpg

B

mc018-3.jpg

C

[–2, 7]

D

[1.5, 7.5]

The graph below represents c, the amount a phone company charges, based on m, the number of minutes the customer uses each month. If there are a maximum of 44,640 minutes in a month, which equation best represents the phone company’s monthly charges?

A

,

B

,

C

,

D

,

The standard form of an absolute value function is . Which of the following represents the vertex?

A

mc002-2.jpg

B

mc002-3.jpg

C

mc002-4.jpg

D

mc002-5.jpg

A cyclist rides at an average speed of 31 miles per hour. The cyclist’s speed, s, can differ from the average by as much as 8 miles per hour. The absolute value inequality represents this situation. If the compound inequality and also represents this situation, what is the value of x in the compound inequality?

A

–8

B

–8 or 8

C

8

D

8 and –8

What is the vertex of the graph of f(x) = |x + 5| – 6?

A

(–6, –5)

B

(–6, 5)

C

(–5, –6)

D

(5, –6)