Pretest: Unit 1
Question 34 of 42
Which of the following is the best definition of a vertical asymptote?
OA. A vertical line that the graph of a function approaches and
intersects
B. A vertical line that the graph of a function approaches but never
intersects
C. A horizontal line that the graph of a function approaches but never
intersects
D. A horizontal line that the graph of a function approaches and

Respuesta :

A vertical line that the graph of a function approaches but never intersects. The correct option is B.

When do we get vertical asymptote for a function?

Suppose that we have the function f(x) such that it is continuous for all input values < a or > a and have got the values of f(x) going  to infinity or -ve infinity (from either side of   x = a) as x goes near a, and is not defined at   x = a, then at that point, there can be constructed a vertical line  x = a and it will be called as vertical asymptote for f(x) at   x = a

A vertical asymptote can be described as a vertical line that the graph of a function approaches but never intersects.

Hence, the correct option is B.

Learn more about Vertical Asymptotes:

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