AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Modeling with Exponential and Logarithmic Equations

Analyzing Compositions of Functions Answers

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Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
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The function is used to model the height of an object being tossed from a tall building, where h(t) is the height in meters and t is the time in seconds. What are the domain and range? Round to the nearest hundredth.

Question illustration
A
domain: [0, 12.76]range: [1.80, 590.90]
B
domain: range: [1.80, 590.90]
Option B
C
domain: range: [0, 590.90]
Option C
D
domain: [0, 12.76]range: [0, 590.90]
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What are the domain and range of the function below?

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A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
4

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
5

Which function has a domain where and a range where ?

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A
mc016-3.jpg
Option A
B
mc016-4.jpg
Option B
C
mc016-5.jpg
Option C
D
mc016-6.jpg
Option D
6

At a peanut butter factory, the daily production cost, C, for j jars of peanut butter is modeled by the graph below. What are the domain and range of the function C(j)?

Question illustration
A
domain: all real numbersrange:
Option A
B
domain: all real numbersrange:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
7

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
8

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
9

What are the domain and range of the function ?

Question illustration
A
domain: all real numbersrange: all real numbers greater than or equal to –5
B
domain: all real numbersrange: all real numbers greater than or equal to –4
C
domain: all real numbers between –2.5 and 2.5range: all real numbers
D
domain: all real numbers between –2.5 and 2.5range: all real numbers greater than or equal to –5
10

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

Question illustration
A
Xmin: –10, Xmax: 10Ymin: –10, Ymax: 10
B
Xmin: –5, Xmax: 5Ymin: –5, Ymax: 5
C
Xmin: 0, Xmax: 10Ymin: 0, Ymax: 10
D
Xmin: –10, Xmax: 0Ymin: –10, Ymax: 0

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