Question

6.9.3 quiz: finding vertical asymptotes
question 7 of 10
which term below correctly completes the following sentence?
if a function has a vertical asymptote at a certain x - value, then the function is______at that value.
a. undefined
b. negative
c. zero
d. rational

Explanation:

A vertical asymptote occurs where the function is undefined. For example, in a rational function \(y=\frac{f(x)}{g(x)}\), vertical asymptotes are at the \(x -\)values where \(g(x) = 0\) (and \(f(x)
eq0\)). At these \(x -\)values, the function is not defined. A function can be negative or zero at defined points. A rational function is a type of function, not a property related to the existence of a vertical asymptote.

Answer:

A. undefined