Answer:
the correct answer is a. Greater, slant.
Step-by-step explanation:
The correct answer is a. Greater, slant.
When the multiplicity of a zero in the denominator is greater than its multiplicity in the numerator, a slant asymptote occurs.
The multiplicity of a zero refers to the number of times a particular value appears as a factor in the expression. For example, if we have the function f(x) = (x - 2)^3 / (x - 2)^2, the zero 2 has a multiplicity of 3 in the numerator and 2 in the denominator.
In this case, the multiplicity of the zero in the denominator (2) is less than its multiplicity in the numerator (3). When the multiplicity in the denominator is less, it means that the zero is canceled out to some extent, resulting in a slant asymptote.
A slant asymptote occurs when the degree of the numerator is exactly one more than the degree of the denominator. The slant asymptote is a slanted line that the function approaches as the x-values become larger or smaller.
Therefore, the correct answer is a. Greater, slant.
