Question

True or False.

The graph of a rational function sometimes

intersects an oblique asymptote.

Short answer

The given statement isfalse.

Step-by-step solution

Step1Definition for the asymptote:

An asymptote is a straight line that continually approaches a given curve but does not meet it at any finite distance. They are of three types. They are,

1. Horizontal asymptote.
2. Vertical asymptote.
3. Oblique asymptote.

Step 2 A vertical asymptote of the graph describes the behavior of the graph when x is close to some number.

So, the graph of a function will never intersect a vertical asymptote.

Therefore, the given statement is false.