Functions and Proportional Relationships
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a proportional relationship?
Back
A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.
2.
FLASHCARD QUESTION
Front
What is a non-proportional relationship?
Back
A non-proportional relationship is one where the ratio between two quantities is not constant, often represented by a line that does not pass through the origin.
3.
FLASHCARD QUESTION
Front
What does it mean for a graph to pass the vertical line test?
Back
A graph passes the vertical line test if no vertical line intersects the graph at more than one point, indicating that each input (x-value) has only one output (y-value).
4.
FLASHCARD QUESTION
Front
What is a function?
Back
A function is a relation where each input has exactly one output.
5.
FLASHCARD QUESTION
Front
What is an example of a non-function?
Back
A relation where an input corresponds to multiple outputs, such as a vertical line or a mapping where one x-value is paired with two different y-values.
6.
FLASHCARD QUESTION
Front
What is the significance of the origin in proportional relationships?
Back
In proportional relationships, the graph passes through the origin (0,0), indicating that when one quantity is zero, the other is also zero.
7.
FLASHCARD QUESTION
Front
How can you determine if a table of values represents a proportional relationship?
Back
A table represents a proportional relationship if the ratios of corresponding values are constant.
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