AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Modeling with Exponential and Logarithmic Equations

Step Functions Answers

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For which x-values is the graph below discontinuous?

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{
{...–3, –2, –1, 0, 1, 2, 3, ...}
{
{... –3, –1, 1, 3, ...}
{
{...–4, –2, 0, 2, 4, ...}
{
{...–3, –1, 0, 1, 3, ...}
3

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

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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
4

What is the value of ?

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–5
–4.6
–4.5
–4
5

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

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f
f(–1) and f(–2)
f
f(1) and f(0)
f
f(–3) and f(–2.1)
f
f(2) and f(1.9)
6

What is the value of ?

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A
–36
B
–33
C
–32
D
–30
7

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

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T
The domain is all real numbers, and the range is all real numbers.
T
The domain is all integers, and the range is all integers that are multiples of 3.
T
The domain is all real numbers, and the range is all integers that are multiples of 3.
T
The domain is all integers, and the range is all real numbers.
8

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

Question illustration
T
The steps are at y = –2 for , at y = –1 for , and at y = 0 for .
Option T
T
The steps are at y = 0 for , at y = 1 for , and at y = 2 for .
Option T
T
The steps are at y = 1 for , at y = 2 for , and at y = 3 for .
Option T
T
The steps are at y = –3 for , at y = –2 for , and at y = –1 for .
Option T
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.

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$
$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.
$
$2.50 is the amount Jeremiah must pay as long as the taxi has not driven a complete mile.
F
For every mile or partial mile the taxi drives, Jeremiah must pay an additional $2.50.
J
Jeremiah must pay $2.50 plus $1.80, or $4.30, per mile for each taxi ride.
10

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

Question illustration
a
all integer values of x
a
all real number values of x
o
only negative values of x
o
only noninteger values of x

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