Asymptote

Related Words

Definition of Asymptote

Asymptote is a line that a graph gets closer and closer to, but never touches or crosses it.

Examples of Asymptote

    example of Asymptote

Video Examples: Asymptotes of Rational Functions


Solved Example on Asymptote

Ques: Find the vertical asymptote of the graph of the function example of Asymptote .

    Choices:
    A. x = - 1
    B. x = 1
    C. x = 0
    D. x = 2
    Correct Answer: B

Solution:

    Step 1:example of Asymptote is clearly discontinuous at x = 1.
    Step 2: example of AsymptoteIf then the line x = c, is the vertical asymptote. [Definition.]
    Step 3: example of Asymptote [For the vertical asymptote.]
    Step 4: example of Asymptote [Numerator is positive, denominator is a very small positive number.]
    Step 5: example of Asymptote [For the vertical asymptote.]
    Step 6: example of Asymptote[Numerator is positive, denominator is a very small negative number.]
    Step 7: So, x = 1 is the vertical asymptote of the curve f (x).
Translate :

Please provide your email for a free trial as a Teacher or Student. This trial will be valid for the current academic year (2015-16). An email to this address includes the password to login to the full web application. You will also receive other promotional emails as and when such deals become available.

I am a Teacher Student