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Which relation is a function?

Which relation is a function?-example-1
User SandeepGodara
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2 Answers

7 votes
7 votes

Answer:

D

Explanation:

User Jonny Waffles
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10 votes
10 votes

Answer: Choice D (bottom right corner)

Reason:

This graph passes the vertical line test. It is not possible to pass a single vertical line through more than one point on this curve. Therefore, we have a function. Each input leads to exactly one output.

In contrast, something like choice B (upper right corner) fails the vertical line test. We can draw a vertical line through more than one point on this circle. An input like x = 0 leads to more than one output. This is why we don't have a function here. Same goes for the other graphs.

A vertical line by itself fails the vertical line test. It has infinitely many outputs for that specific x value input.

User Cercxtrova
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