is y=g(x) a function?

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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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.