What is a function?
Function vs Non-Function

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•
Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A function is a relation where each input (x-value) has exactly one output (y-value).
2.
FLASHCARD QUESTION
Front
What is a non-function?
Back
A non-function is a relation where at least one input (x-value) has more than one output (y-value).
3.
FLASHCARD QUESTION
Front
What does the vertical line test determine?
Back
The vertical line test determines if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.
4.
FLASHCARD QUESTION
Front
What does the horizontal line test determine?
Back
The horizontal line test determines if a function is one-to-one. If any horizontal line intersects the graph at more than one point, the function is not one-to-one.
5.
FLASHCARD QUESTION
Front
Give an example of a function.
Back
An example of a function is y = 2x + 3, where each x-value has a unique y-value.
6.
FLASHCARD QUESTION
Front
Give an example of a non-function.
Back
An example of a non-function is the relation defined by the equation x^2 + y^2 = 1, which has two y-values for some x-values.
7.
FLASHCARD QUESTION
Front
What is the significance of the x-value in a function?
Back
In a function, each x-value must correspond to only one y-value to maintain the definition of a function.
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