AnswersVA-Mathematical AnalysisStep Functions

Step Functions Answers

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A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound. Which equation represents the cost, in dollars, of shipping a package that weighs x pounds?

A
, where x > 0
Option A
B
, where x > 0
Option B
C
, where x > 0
Option C
D
, where x > 0
Option D
2
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What is the value of ?

Question illustration
A
–36
B
–33
C
–32
D
–30
3

Where is the graph of discontinuous?

Question illustration
A
all real numbers
B
all integers
C
only at multiples of 3
D
only at multiples of 4
4

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

Question illustration
A
The domain is all real numbers, and the range is all real numbers.
B
The domain is all integers, and the range is all integers that are multiples of 3.
C
The domain is all real numbers, and the range is all integers that are multiples of 3.
D
The domain is all integers, and the range is all real numbers.
5

What is the value of ?

Question illustration
A
–5
B
–4.6
C
–4.5
D
–4
6

What is the value of ?

Question illustration
A
3
B
3.5
C
3.6
D
4
7

What is the value of ?

Question illustration
A
–2
B
–1
C
0
D
1
8

What is the value of ?

Question illustration
A
–13
B
–12
C
12
D
13
9

Jeremiah lives in New York City and takes a taxi almost everywhere he goes. In order to calculate the price of his taxi ride, Jeremiah came up with the equation P = 1.80 + 2.50, where x is the number of miles or partial miles traveled in the taxi.Explain the meaning of the constant 2.50 as it relates to the situation.

Question illustration
A
$2.50 is the base amount that Jeremiah must pay in order for the taxi to pick him up before he has been driven anywhere.
B
$2.50 is the amount Jeremiah must pay as long as the taxi has not driven a complete mile.
C
For every mile or partial mile the taxi drives, Jeremiah must pay an additional $2.50.
D
Jeremiah must pay $2.50 plus $1.80, or $4.30, per mile for each taxi ride.
10

For which x-values is the graph below discontinuous?

Question illustration
A
{...–3, –2, –1, 0, 1, 2, 3, ...}
B
{... –3, –1, 1, 3, ...}
C
{...–4, –2, 0, 2, 4, ...}
D
{...–3, –1, 0, 1, 3, ...}
11

Used books cost $2.25 each. Which expression represents the total number of books that can be purchased for $10?

A
mc021-1.jpg
Option A
B
mc021-2.jpg
Option B
C
mc021-3.jpg
Option C
D
mc021-4.jpg
Option D
12

Which statement describes the graph of on [0, 3)?

Question illustration
A
The steps are at y = –2 for , at y = –1 for , and at y = 0 for .
Option A
B
The steps are at y = 0 for , at y = 1 for , and at y = 2 for .
Option B
C
The steps are at y = 1 for , at y = 2 for , and at y = 3 for .
Option C
D
The steps are at y = –3 for , at y = –2 for , and at y = –1 for .
Option D
13

In the function , which values of the function are equivalent?

Question illustration
A
f(–1) and f(–2)
B
f(1) and f(0)
C
f(–3) and f(–2.1)
D
f(2) and f(1.9)
14

A skate shop rents roller skates as shown in the table below. Roller Skate RentalsTimeCostup to 60 minutes$5up to 2 hours$10up to 5 hours$20daily$25Which graph and function model this situation, where c is the cost, in dollars, of renting skates, and t is the number of hours in a single day that the skates are rented?

A
mc024-1.jpg
Option A
B
mc024-3.jpg
Option B
C
mc024-5.jpg
Option C
D
mc024-7.jpg
Option D
15

Kareem wrote the expressions shown below.Which pair is equivalent?

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

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