Question

Which best describes the range of the function f(x)=2/3(6)^x after it's been reflected over the x-axis

Answer 1

The function $6^x$ is an exponential with base greater than 1. So, its range is $(0,\infty)$, with 0 being the horizontal asymptote as $x \to -\infty$.

If you multiply the function by $\frac{2}{3}$, the range remains the same.

If you reflect it over the x-axis, you're changing the sign of the function. So, the new range is

$(-\infty,0)$