# Is f(x) = 2 - 2/x^6 a function?

$f \left(x\right) = 2 - \frac{2}{x} ^ 6$ is a function; although it is not defined for $x = 0$
Every possible value of $x$ (excluding $x = 0$, as noted in the answer) generates a single value for $f \left(x\right)$.