Final answer:
The graph of the function F(x) = e⁻¹ is a horizontal line at y = 0.368. The range of the function is {0.368} and the domain is all real numbers. There are no asymptotes in this function.
Step-by-step explanation:
F(x) = e⁻¹ represents the function where the output, or the value of f(x), is always equal to e raised to the power of -1. Since e is a constant approximately equal to 2.718, the function becomes F(x) = 2.718⁻¹ = 0.368.
The graph of this function will be a horizontal line at y = 0.368, because the function does not change with x. Therefore, the range of the function is {0.368} and the domain is all real numbers.
Since the function is a horizontal line, it does not have any asymptotes.