Is \(\displaystyle{y}=\sqrt{{{6}{x}}}\) a function? How can you

Shaylee House

Shaylee House

Answered question

2022-04-13

Is y=6x a function? How can you be sure just by looking at the equation alone?

Answer & Explanation

strasnihwhge

strasnihwhge

Beginner2022-04-14Added 14 answers

Functions are a rule mapping a domain set X to a range set Y, where every element x in X is associated with a unique element y in Y.
So I can't tell if y=6x is a function until you tell me X and Y. If you said X and Y are both all the real numbers, that includes negative numbers, and 6(2) doesn't exist. On the other hand, if you said the domain and range are all the non-negative real numbers, or the domain and range are all the complex numbers, then you might be onto something.

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