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Home > PC3 > Chapter 6 > Lesson 6.2.2 > Problem 6-94

6-94.

Graph each rational function. State the equations of the asymptotes.  

  1.  

    The vertical asymptote occurs when .
    The horizontal asymptote occurs when is a very large number.
    To determine the horizontal asymptote, use the simplified equation from Step 2.
    What happens when is very large?

  1.  

    Follow the steps outlined in part (a) to rewrite the equation in a friendlier form.

    The vertical asymptotes occur when .

    Hopefully your rewritten equation matches the one shown below.
    The determine the horizontal asymptote, think about what value the function approaches when is a very large number.