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Chapter 4: Q. 4 (page 234)

True or False.

The graph of a rational function sometimes

intersects an oblique asymptote.

Short Answer

Expert verified

The given statement isfalse.

Step by step solution

01

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.
02

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.

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Most popular questions from this chapter

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