is y=g(x) a function?

### 3 Answers | Add Yours

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

Yes

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.**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes