Final answer:
False, a function cannot have two different horizontal asymptotes.
Step-by-step explanation:
A function can have two different horizontal asymptotes.
Answer: False
A function can have at most two horizontal asymptotes, but they must be the same value. Let's say we have a function f(x) with two horizontal asymptotes, y = a and y = b, where a and b are different values. This means that as x approaches positive infinity, f(x) approaches both a and b, which contradicts the definition of a horizontal asymptote. Therefore, a function cannot have two different horizontal asymptotes.