Identify Linear Functions (Graphs) - Determine if a Graph Represents a Linear Function

Sep 30, 2026

Uploaded by Asher

Worksheet and answer key for identifying linear functions from given graph representations. Students determine whether each listed equation corresponds to a linear function, selecting yes or no for multiple items. Problems include linear equations in the form y = mx + b as well as non-linear expressions involving squared terms or other non-linear patterns. The provided answer sections record correct classifications for each numbered question.

LanguageEnglish

CategoryExam

FormatPDF

Pages30

Reading Time1 h 16 min

AccessFree to download

Determine Whether a Graph Shows a Linear Function

Yes or No Answers

Identify Linear Functions (Graphs) Name: | Determine if the graph shown represents a linear function (yes) or not (no). | | | | | Answers
1.
2.
3.
4.
5.
6.
7.
8. | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1)
3)
5)
7) |
Y=X2-8

Y=3×X-(X+2)

Y= X2-3

Y= X +5
|
4)

Y= X×2

Y=-X+4
8) ~~ ~~

Y= X-4

| | | | | | | | | | | 1-8 | | | 88 | 75 | | 63 | 50 | 38 | 25 | 13 | 0 | [Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1) Identify Linear Functions (Graphs) Name: Answer Key | Determine if the graph shown represents a linear function (yes) or not (no). | | | | | Answers
[1. ](1. no)[ no](1. no)
[2. ](2. no)[ no](2. no)
[3](3). yes
[4. ](4. no)[ no](4. no)
[5. ](5. no)[ no](5. no)
[6](6). yes
[7. ](7. no)[ no](7. no)
[8. ](8. no)[ no](8. no) | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1)
3)
5)
7) |
Y=X2-8

Y=3×X-(X+2)

Y= X2-3

Y= X +5
|
4)

Y= X×2

Y=-X+4
8) ~~ ~~

Y= X-4

| | | | | | | | | | | 1-8 | | | 88 | 75 | | 63 | 50 | 38 | 25 | 13 | 0 | [Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1) Identify Linear Functions (Graphs) Name: | Determine if the graph shown represents a linear function (yes) or not (no). | | | | Answers
1.
2.
3.
4.
5.
6. | | --- | --- | --- | --- | --- | | 1)
3)
5) | | 2)
4) | | | | | | 6) | | | | | | Y=-X+4 | | | Math Modified [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 1 1-6 83 67 50 33 17 0 Identify Linear Functions (Graphs) Name: | Determine if the graph shown represents a linear function (yes) or not (no). | | | | | Answers
1.
2.
3.
4.
5.
6.
7.
8. | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1)
3)
5)
7) |
Y=-X-2

Y=-X+2

Y=2×X-(X+7)

Y=X2+9 |
| | | | | | | | | | | 1-8 | | | 88 | 75 | | 63 | 50 | 38 | 25 | 13 | 0 | [Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2) Identify Linear Functions (Graphs) Name: Answer Key | Determine if the graph shown represents a linear function (yes) or not (no). | | | | | Answers
1. yes
[2. ](2. no)[ no](2. no)
[3](3). yes
4. yes
5. yes
[6. ](6. no)[ no](6. no)
[7. ](7. no)[ no](7. no)
[8](8). yes | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1)
3)
5)
7) |
Y=-X-2

Y=-X+2

Y=2×X-(X+7)

Y=X2+9 |
| | | | | | | | | | | 1-8 | | | 88 | 75 | | 63 | 50 | 38 | 25 | 13 | 0 | [Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2) Identify Linear Functions (Graphs) Name: | Determine if the graph shown represents a linear function (yes) or not (no). | | | | Answers
1.
2.
3.
4.
5.
6. | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1)
3)
5) | | | | | | | | | | | | | | 4) | | | | | | | | | | | | Y=-X×3 | | | | | | | | | | | | 6) | | | | | | | | | | | | Y= X2-4
| | | | | | | | | | 1-6 | | | | | 83 | 67 | 50 | 33 | 17 | 0 | Math Mod

FAQs

How do you decide if a graph represents a linear function?

A linear function produces a straight-line relationship between x and y and is typically written in the form y = mx + b. Non-linear forms do not follow a straight-line pattern.

What do the worksheet questions ask students to do?

Each item asks whether the shown equation/graph represents a linear function, and students choose “yes” or “no” for every numbered problem.

Are the worksheets provided with an answer key?

Yes. The document includes “Answer Key” sections that list the correct yes/no choices for each numbered item.

Sep 30, 2026

Uploaded by Asher