Lois works full-time as a reporter for a newspaper. She always works at least 40 but no more than 45 hours per week. The function f(x) = 20x represents Lois’s weekly earnings given x, the number of hours she has worked that week. What is the domain and range of f(x) in this situation?

Domain: 40 ≤ x ≤ 45, Range: 800 ≤ f(x) ≤ 900

Domain: 0 ≤ x ≤ 45, Range: 0 ≤ f(x) ≤ 900

Domain: 40 ≤ x ≤ 50, Range: 800 ≤ f(x) ≤ 1000

Domain: 35 ≤ x ≤ 45, Range: 700 ≤ f(x) ≤ 900

Clark works as a photographer for a newspaper. He always earns $25 per image sold to the newspaper for featured stories. The function f(x) = 25x represents Clark’s earnings per featured story given x, the number of photos he sells for each story. If the newspaper always purchases at least 7 photos but no more than 12 photos per featured story, what is the domain and range of $ f(x) in this situation?

Domain: 7, 8, 9, 10, 11, 12; Range: 175, 200, 225, 250, 275, 300

Domain: 7 ≤ x ≤ 12; Range: 25 ≤ f(x) ≤ 300

Domain: 0, 1,2,3,4,5,6,7,8,9,10,11, 12; Range: 0,25,50,75,100,,125,150,175,200,225,250,275, 300

Domain: 7 ,8,9,10,11,12; Range: 25, 50,75,100,125,150

Maria works part-time as a tutor. She earns $15 per hour. The function f(x) = 15x represents Maria’s weekly earnings given x, the number of hours she has worked that week. If Maria works between 10 and 20 hours per week, what is the domain and range of f(x) in this situation?

Domain: 10 ≤ x ≤ 20, Range: 150 ≤ f(x) ≤ 300

Domain: 0 ≤ x ≤ 20, Range: 0 ≤ f(x) ≤ 300

Domain: 10 ≤ x ≤ 25, Range: 150 ≤ f(x) ≤ 375

Domain: 5 ≤ x ≤ 20, Range: 75 ≤ f(x) ≤ 300

Mr. Nguyen burns 420 calories per hour while exercising on a row machine. If Mr. Nguyen plans to spend 3 hours per week rowing over the course of a year, analyze his potential calorie burn, f(x), in relation to the number of hours spent rowing. Identify the independent variable.

x = the number of hours rowing.

f(x) = the potential calories burned

x=the potential calories burned

f(x)=the number of hours rowing

Mr. Nguyen burns 420 calories per hour while exercising on a row machine. If Mr. Nguyen plans to spend 3 hours per week rowing over the course of a year, analyze his potential calorie burn, f(x), in relation to the number of hours spent rowing. Identify the dependent variable.

f(x) = the potential calories burned

x = the number of hours rowing.

x=the potential calories burned

f(x)=the number of hours rowing

Mr. Nguyen burns 420 calories per hour while exercising on a row machine. If Mr. Nguyen plans to spend 3 hours per week rowing over the course of a year, analyze his potential calorie burn, f(x), in relation to the number of hours spent rowing. What are the restrictions to the dependent variable?

maximum is 66,520 calories burned

Algebra Unit 2 Test

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Medium

•

CCSS

8.F.A.1, HSF.IF.A.2, 8.F.B.4

+5

Standards-aligned

BRANDON CARPENTER

Used 4+ times

FREE Resource

35 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Determine if the relation represented in the diagram is a function. Justify your response. If the relation is a function, state its domain and range.

The relation is a function because it passes the horizontal line test.

The relation is not a function because it does not pass the vertical line test.

The relation is a function because it passes the vertical line test.

The relation is not a function because it passes the horizontal line test.

2.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Determine if the relation represented in the diagram is a function. Justify your response. If the relation is a function, state its domain and range.

The relation is a function because it passes the horizontal line test.

The relation is not a function because it does not pass the vertical line test.

The relation is a function because it passes the vertical line test.

The relation is not a function because it passes the horizontal line test.

3.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Determine if the relation represented in the table is a function.

Yes, it is a function.

No, it is not a function.

Tags

CCSS.8.F.A.1

4.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Determine if the situation is functional or not: A science student created a bacterial culture of a swab from her toilet bowl handle using a petri dish. She recorded the amount of bacteria in the petri dish once each day for 5 days. Is the amount of bacteria in the petri dish a function of the amount of time it cultures in the petri dish in this situation?

Yes, it is a function

No, it is not a function

Tags

CCSS.8.F.A.1

5.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Determine if the situation is functional or not: Data was collected from high school students on the number of extracurricular activities each student participated in during the school year and the students’ overall GPAs. Is overall GPA a function of the amount of extracurricular participation in this situation?

Yes, overall GPA is a function of extracurricular participation.

No, overall GPA is not a function of extracurricular participation.

6.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

43

0

-43

50

Tags

CCSS.HSF.IF.A.2

7.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

-13

7

0

13

Tags

CCSS.HSF.IF.A.2

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Algebra Unit 2 Test

35 questions

Determine if the relation represented in the diagram is a function. Justify your response. If the relation is a function, state its domain and range.

Determine if the relation represented in the diagram is a function. Justify your response. If the relation is a function, state its domain and range.

Determine if the relation represented in the table is a function.

The graph of f(x) is shown. Find the value of f(-3).

If -12 is an element in the domain of f(x) = 6(8 - x), what is its corresponding element in the range?

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