AnswersTX-PrecalculusStep 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, ...}
4

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
6

What is the value of ?

Question illustration
A
–13
B
–12
C
12
D
13
7

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
9

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)
11

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

What is the value of ?

Question illustration
A
3
B
3.5
C
3.6
D
4
13

What is the value of ?

Question illustration
A
–13
B
–12
C
12
D
13
14

The United States Postal Service charges $0.55 to mail a first-class letter that weighs up to 1 ounce. Each additional ounce costs $0.15. Which equation represents the situation?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

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)
16

What is the value of ?

Question illustration
A
–2
B
–1
C
0
D
1
17

What is the value of ?

Question illustration
A
–36
B
–33
C
–32
D
–30
18

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
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

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
20

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, ...}

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