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is y=g(x) a function?

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math30fail | Student, Undergraduate

Posted September 27, 2011 at 10:08 AM via web

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is y=g(x) a function?

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sweetskittles24 | Student, Grade 11

Posted September 27, 2011 at 10:21 AM (Answer #1)

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Yes! :) when plugging in numbers, this graph will pass the vertical line test.

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bla603 | Student

Posted September 27, 2011 at 11:13 AM (Answer #2)

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Yes

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted November 4, 2013 at 6:09 PM (Answer #3)

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If a rule produces a single output for any given input, then the rule represents a function.

Usually, the rule is denoted f, the input is represented by the variable x, and the output produced by the rule f, is y, such that:

f(x) = y

The problem provides the equation g(x) = y, hence, in this case, the rule that produces the output y, for any given input x, is the rule g, such that g(x) = y.

Hence, the given relation `g(x) = y` represents a function.

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