Which best describes the range of the function f of x is equal to 2 times 1 fourth to the x th power after it has been reflected over the y -axis?

Reflecting a graph over the y-axis replaces x with −x, so the function becomes f(−x) = 2(1/4)^(−x) = 2·4^x. Since 4^x is always positive for every real x, multiplying by 2 keeps the output positive. The range is all real numbers greater than 0.

AI-written and checked against the verified answer.