Question

What is the horizontal asymptote of a function if m > n?

A) y = 1.
B) y = 0.
C) There is no horizontal asymptote.
D) x = 0.

Answer 1

The horizontal asymptote of a function when the degree of the numerator is greater than the degree of the denominator is y = 0.

Step-by-step explanation:

The question is asking about the horizontal asymptote of a function when the degree of the numerator (m) is greater than the degree of the numerator (n). A horizontal asymptote refers to a line that the graph of a function approaches but does not cross as the values of x increase or decrease without bound. When m > n, the horizontal asymptote is at y = 0. This is because as x approaches infinity, the function's value approaches zero, since the growth in the denominator outpaces the numerator. Thus, the correct answer is B) y = 0.