which asymptote(s) are determined by looking at the denominator? slant horizontal vertical none
which asymptote(s) are determined by looking at the denominator? slant horizontal vertical none
Answer
Explanation:
Step1: Recall asymptote definitions
Vertical asymptotes occur where the denominator of a rational - function is zero (while the numerator is non - zero). For a rational function $y = \frac{f(x)}{g(x)}$, we find vertical asymptotes by solving $g(x)=0$.
Step2: Analyze other asymptotes
Slant asymptotes occur when the degree of the numerator is one more than the degree of the denominator and are found by long - division. Horizontal asymptotes are determined by comparing the degrees of the numerator and denominator of a rational function, not just by looking at the denominator.
Answer:
C. vertical