Is the Relation a Function?

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•
Mathematics
•
8th - 9th Grade
•
Hard
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a function in mathematics?
Back
A function is a relation that assigns exactly one output (y-value) for each input (x-value).
Tags
CCSS.8.F.A.1
2.
FLASHCARD QUESTION
Front
How can you determine if a relation is a function?
Back
A relation is a function if no x-value is paired with more than one y-value.
Tags
CCSS.8.F.A.1
3.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, the curve is not a function.
4.
FLASHCARD QUESTION
Front
What does it mean for a relation to not be a function?
Back
A relation is not a function if at least one x-value is associated with multiple y-values.
Tags
CCSS.8.F.A.1
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 corresponds to only one y-value.
Tags
CCSS.8.F.A.1
6.
FLASHCARD QUESTION
Front
What is an example of a function?
Back
An example of a function is the equation y = 2x + 3, where each x-value has a unique y-value.
Tags
CCSS.8.F.A.1
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 the set of points {(1, 2), (1, 3)}, where the x-value 1 is paired with two different y-values.
Tags
CCSS.8.F.A.1
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