Podcast
Questions and Answers
What does the vertical line test determine about a graph?
What does the vertical line test determine about a graph?
- Whether the graph represents a function. (correct)
- Whether the graph has a maximum or minimum value.
- Whether the graph is continuous.
- Whether the graph intersects the x-axis.
In the given relation, which x-value indicates the presence of multiple y-values?
In the given relation, which x-value indicates the presence of multiple y-values?
- -7
- 8
- 11 (correct)
- 3
If a relation has the pair (5, 8) as part of its input-output pairs, which of the following could invalidate it as a function?
If a relation has the pair (5, 8) as part of its input-output pairs, which of the following could invalidate it as a function?
- (5, 10) (correct)
- (3, 5)
- (7, 8)
- (5, 12) (correct)
What condition must be met for a relation to be classified as a function?
What condition must be met for a relation to be classified as a function?
If a graph fails the vertical line test, what can be concluded about it?
If a graph fails the vertical line test, what can be concluded about it?
Based on the table provided, why is it classified as not a function?
Based on the table provided, why is it classified as not a function?
In the mapping diagram, which of the following statements accurately describes why it is not a function?
In the mapping diagram, which of the following statements accurately describes why it is not a function?
What characteristic must hold true for a relation to be defined as a function?
What characteristic must hold true for a relation to be defined as a function?
Which of the following could potentially result in a relation being not a function?
Which of the following could potentially result in a relation being not a function?
In the context of functions, which definition is accurate?
In the context of functions, which definition is accurate?
Which of the following best defines the domain of a function?
Which of the following best defines the domain of a function?
What does the range of a function specifically refer to?
What does the range of a function specifically refer to?
In a mapping diagram, what is typically shown by the lines connecting the ovals?
In a mapping diagram, what is typically shown by the lines connecting the ovals?
Which of the following statements is true regarding the vertical line test?
Which of the following statements is true regarding the vertical line test?
If a function does not pass the vertical line test, what can be concluded?
If a function does not pass the vertical line test, what can be concluded?
How can the relationship between the numbers in the ovals be interpreted?
How can the relationship between the numbers in the ovals be interpreted?
Which option best describes the term 'mapping' in mathematics?
Which option best describes the term 'mapping' in mathematics?
Considering the possible sets of values, which pair would typically not be included in a mapping diagram?
Considering the possible sets of values, which pair would typically not be included in a mapping diagram?
Flashcards
Function?
Function?
A relation where every input has exactly one output. No input can have multiple outputs.
Function test: Table
Function test: Table
Examine the table to see if any input (X) values are linked to multiple output (Y) values. If so, it's not a function.
Function test: Mapping Diagram
Function test: Mapping Diagram
Check if any input (arrow source) has more than one output (arrow destination). If so, it's not a function.
Function definition
Function definition
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Vertical Line Test
Vertical Line Test
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Function rule
Function rule
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Relation
Relation
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Repeating Input Values
Repeating Input Values
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Function Test
Function Test
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Domain
Domain
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Range
Range
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Mapping
Mapping
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Graph
Graph
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Not a Function
Not a Function
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Study Notes
Graph representing a function
- The graph does not represent a function because the vertical line test shows repeating input values
Relation as a function
- The relation is not a function because the x-value 11 has two y-values paired with it.
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Description
Test your understanding of functions through the vertical line test and evaluation of relations. This quiz will help you to distinguish between functional and non-functional relationships based on their graph representations.
