AnswersVA-Mathematical AnalysisStep Functions

Step Functions Answers

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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, ...}
2
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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.
3

What is the value of ?

Question illustration
A
–2
B
–1
C
0
D
1
4

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)
5

Which statement explains why the value of is 2 but the value of is –3?

Question illustration
A
because 2 is the greatest integer not greater than 2.4, and –3 is the greatest integer not greater than –2.4
B
because 2.4 rounds to 2, and –2.4 rounds to –3
C
because 2.4 is positive, and –2.4 is negative
D
because 2 is the least integer greater than 2.4, and –3 is the least integer greater than –2.4
6

Which set of numbers best describes the possible values of x in the equation below?

Question illustration
A
all integer values of x
B
all real number values of x
C
only negative values of x
D
only noninteger values of x
7

The cost of sending an overnight package from Kansas City to Miami is $23.50 for a package weighing up to but not including 1 pound, and $3.80 for each additional pound or portion of a pound. A model for the total cost C (in dollars) of sending the package is C = 23.50 + 3.80, x > 0, where x is the weight (in pounds). What is the meaning of the coefficient 3.80 in the context of the problem?

Question illustration
A
When the package weighs less than one pound, the price of the package is $3.80.
B
For every pound that the package weight increases, the price of sending it increases by $3.80.
C
For every pound that the package weight increases, the price of sending it increases by $23.50.
D
When the package weighs less than one pound, the price of the package is $23.50.
8

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
9

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
10

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

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Step Functions Answers — VA-Mathematical Analysis