
Relations and Functions
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Is the relation depicted in the table below a function?
Yes
No
Cannot be determined from a table
Answer explanation
Yes, the relation is a function because each input (x-value) corresponds to exactly one output (y-value). There are no repeated x-values in the table, confirming it meets the definition of a function.
Tags
CCSS.8.F.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Does the graph represent a function?
Yes, because the vertical line test shows there are no repeating input values
No, because the vertical line test shows there are repeating input values
Answer explanation
No, because the vertical line test shows there are repeating input values. This indicates that for at least one input, there are multiple outputs, which violates the definition of a function.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
List the ordered pairs
(1,3), (2,6), (3,9), (4,12)
(3,1), (6,2), (9,3), (12,4)
Input and Output
Output and Input
Answer explanation
The correct ordered pairs are (1,3), (2,6), (3,9), (4,12) because they follow the pattern of multiplying the first element by 3 to get the second element. The other option reverses this relationship.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Is the relation a function?
Yes, each input has one output
No, each input has more than one output
No, the cost of the movies is different
Yes, each output has one input
Answer explanation
The correct answer is 'Yes, each input has one output' because a function is defined as a relation where each input corresponds to exactly one output, ensuring no input has multiple outputs.
Tags
CCSS.8.F.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which graph represents a function?
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The graph of a relation is shown below. Is the relation a function?
Yes
No
Cannot be determined from a graph
Answer explanation
Yes, the relation is a function because each input (x-value) corresponds to exactly one output (y-value). This is confirmed by the vertical line test, where no vertical line intersects the graph at more than one point.
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Is this a function?
Yes
No
Answer explanation
Yes, this is a function because it assigns exactly one output for each input, satisfying the definition of a function in mathematics.
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