SOLUTION: What is a function?

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Question 620669: What is a function?
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
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In mathematics, a function is a relation between a set of inputs called the domain and a set of outputs called the range with the property that each input is related to exactly one output.
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One example of a function is defined by the rule f(x) = x^2, which relates an input x to the square of x. The domain of this function is the set of real numbers. The range is the set of non-negative real numbers.
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Notice that no matter that number you choose from the domain, it is related to only one number in the range. For example 2-squared is four. There is no other answer.
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In functions it may be the case that more than one number in the domain is related to a single number in the rangle (e.g. 3-squared is nine, and negative 3-squared is also nine.) This is OK, just not the other way around.
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Hope this helps!
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Ms.Figgy
math.in.the.vortex@gmail.com