What is a function?
Representations of 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
Which of the following is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)
Back
(6,-5) (7, -3) (8, -1) (9, 1) is a function because each x-value is unique.
3.
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 a vertical line intersects the graph at more than one point, it is not a function.
4.
FLASHCARD QUESTION
Front
Is the relation {(1,2), (2,3), (1,4)} a function? Why or why not?
Back
No, because the x-value 1 has two different y-values (2 and 4).
5.
FLASHCARD QUESTION
Front
What does it mean for a relation to be not a function?
Back
A relation is not a function if at least one x-value is associated with more than one y-value.
6.
FLASHCARD QUESTION
Front
Is the mapping {(a, b), (a, c)} a function?
Back
No, because the x-value 'a' has two different y-values (b and c).
7.
FLASHCARD QUESTION
Front
Is the graph of y = x^2 a function?
Back
Yes, because for every x-value, there is exactly one y-value.
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