
Function or Not a Function
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.
2.
FLASHCARD QUESTION
Front
What defines a function in mathematics?
Back
A function is a relation that assigns exactly one output for each input. In other words, for every x-value in the domain, there is one and only one corresponding y-value in the range.
3.
FLASHCARD QUESTION
Front
What is the difference between a function and a relation?
Back
A relation is a set of ordered pairs, while a function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).
4.
FLASHCARD QUESTION
Front
How can you determine if a table represents a function?
Back
To determine if a table represents a function, check if any x-values are repeated. If an x-value appears more than once with different y-values, it is not a function.
5.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.
6.
FLASHCARD QUESTION
Front
What does it mean for a graph to be a function?
Back
For a graph to be a function, it must pass the vertical line test, meaning that no vertical line can intersect the graph at more than one point.
7.
FLASHCARD QUESTION
Front
What is an example of a non-function?
Back
An example of a non-function is the graph of a circle, as it fails the vertical line test by having multiple y-values for the same x-value.
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