What is a function?
Functions

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Mathematics
•
8th 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 the vertical line test?
Back
The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph more than once, it is not a function.
3.
FLASHCARD QUESTION
Front
What is the horizontal line test?
Back
The horizontal line test is used to determine if a function is one-to-one. If any horizontal line intersects the graph more than once, the function is not one-to-one.
4.
FLASHCARD QUESTION
Front
What does it mean for a relation to be a function?
Back
A relation is a function if every x-value is paired with only one y-value.
5.
FLASHCARD QUESTION
Front
Can a function have the same y-value for different x-values?
Back
Yes, a function can have the same y-value for different x-values, as long as each x-value has only one corresponding y-value.
6.
FLASHCARD QUESTION
Front
What is an example of a function?
Back
An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.
7.
FLASHCARD QUESTION
Front
What is an example of a relation that is not a function?
Back
An example of a relation that is not a function is {(1, 2), (1, 3)}, where the x-value 1 is paired with two different y-values.
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