Relations and Functions
Authored by Tracey Hadaway
Mathematics
8th - 9th Grade
CCSS covered
Used 8K+ times
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About
This quiz focuses on the foundational concepts of relations and functions in algebra, appropriate for grades 8-9. Students must demonstrate understanding of the definition of a function as a relation where each input (x-value) corresponds to exactly one output (y-value). The core concepts assessed include identifying domain and range, applying the vertical line test to graphs, analyzing mapping diagrams, and distinguishing between relations that are functions versus those that are not. Students need to understand that domain represents all possible input values while range represents all possible output values, and they must be able to work with multiple representations including ordered pairs, mapping diagrams, and graphs. The reasoning skills required involve pattern recognition, logical analysis of one-to-one and one-to-many relationships, and the ability to apply the fundamental definition of a function across various mathematical representations. Created by Tracey Hadaway, a Mathematics teacher in US who teaches grade 8-9. This assessment serves multiple instructional purposes, functioning effectively as a diagnostic tool to gauge student understanding before moving to more complex function concepts, or as formative assessment during the unit to identify areas needing reinforcement. 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 review material before summative assessments. The variety of question formats—from identifying functions in ordered pairs to interpreting graphs and mapping diagrams—provides comprehensive coverage that supports differentiated instruction and helps students make connections between abstract definitions and visual representations. This quiz aligns with standards 8.F.A.1 and F-IF.A.1, which require students to understand functions as relationships between variables and determine whether relations represent functions.
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21 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which relation is NOT a function?
Tags
CCSS.8.F.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
All of the x values or inputs are called what?
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
All of the y values or outputs are called what?
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of the relation shown on the mapping diagram?
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the given relation, what domain value corresponds to the range value -2?
{(-1,2), (-2,4), (2,5), (0,-2), (2,0)}
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is not a function?
Tags
CCSS.8.F.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which graph does NOT pass the vertical line test?
Tags
CCSS.8.F.A.1
CCSS.8.F.A.3
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