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Function vs Non Function

Authored by Kathleen Cipolla

Mathematics

8th Grade

CCSS covered

Used 475+ times

Function vs Non Function
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About

This quiz focuses on functions and relations in mathematics, specifically targeting the fundamental concept of identifying whether a given relationship qualifies as a function. Designed for 8th grade students, the content emphasizes the critical understanding that a function is a special type of relation where each input (x-value) corresponds to exactly one output (y-value). Students must master the ability to analyze functions across multiple representations: graphs, mappings, tables, and sets of ordered pairs. The core concepts include applying the vertical line test to graphs, recognizing that repeated x-values with different y-values violate the function definition, understanding domain and range terminology, and evaluating simple linear functions. Students need strong analytical reasoning skills to examine various representations and determine whether the one-to-one input-output relationship is maintained, as well as the ability to articulate their mathematical reasoning by identifying specific violations of the function definition. Created by Kathleen Cipolla, a Mathematics teacher in the US who teaches grade 8. This comprehensive assessment serves multiple instructional purposes throughout the function unit, working effectively as a formative assessment tool to gauge student understanding before moving to more complex function operations. Teachers can deploy this quiz as a warm-up activity to activate prior knowledge, assign it as homework to reinforce classroom learning, or use it as a review session before summative assessments. The varied question formats mirror different ways students encounter functions in their coursework, ensuring they can transfer their understanding across multiple contexts. This quiz directly supports 8.F.A.1, which requires students to understand that a function assigns exactly one output to each input, and connects to F-IF.A.1 at the high school level by building foundational understanding of function notation and evaluation.

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19 questions

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1.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Media Image

Is this graph a function and how can you tell?

Yes its a function cause it doesn't cross itself
No it's not a function because it goes through the origin
No it's not a function because the x value 4 has y values of  -2 & 2
No it's not a function because the y value 4 has x values of  -2 & 2

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

2.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Media Image

Is this mapping a function and how can you tell?

Yes its a function cause all the numbers have lines
No it's not a function because there a 5 in both ovals
No it's not a function because the x value 5 has y values of  2 & 9
No it's not a function because the y value 5 has x values of  2 & 9

Tags

CCSS.8.F.A.1

3.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Media Image

Is this table a function and how can you tell?

Yes its a function because there are not variables for missing numbers
No it's not a function because the numbers don't follow any pattern
No it isn't a function because the x value 4 has y values of  7& 14
No it's not a function because the y value 4 has x values of  7& 14

Tags

CCSS.8.F.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Is this set of ordered pairs a function and how can you tell?

Yes its a function because no y values repeat
No it's not a function because there are negative numbers
No it isn't a function because an x value repeats but has different y values 
No it isn't a function because an y value repeats but has different x values

Tags

CCSS.8.F.A.1

5.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Which of the following guarantees a table will not be a function?

A x value repeats
An y value repeats
An x value repeats and has different y values
A y value repeats and has different x values

Tags

CCSS.8.F.A.1

6.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Which of the following guarantees a set of ordered pairs will not be a function?

An x value repeats
A y value repeats
An x value repeats and has different y values
A y value repeats and has different x values

Tags

CCSS.8.F.A.1

7.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Which of the following guarantees a table will not be a function?

An x value repeats
A y value repeats
An x value repeats and has different y values
A y value repeats and has different x values

Tags

CCSS.8.F.A.1

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