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Make a complete graph of f. f(x) = x^2/(x - 10).

Question:

Make a complete graph of {eq}f {/eq}.

{eq}\displaystyle f(x) = \frac{x^2}{x - 10} {/eq}

Graphing Rational Functions using Asymptotes:

Graphing rational functions are different and more complicated than graphing polynomial functions as there are several conditions that must be considered. To plot rational functions, it is first important to determine the asymptotes, particularly the vertical, horizontal and the oblique asymptotes. These are obtained by examining the function and solving for the particular asymptote. Once the asymptotes (and sometimes the intercepts) are obtained, the behavior of the graph is easily determined.

Answer and Explanation:

The exception in the domain of this rational function is also the vertical asymptote of its graph. So, there is a vertical asymptote at {eq}x =...

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Graphing & Analyzing Rational Functions

from Precalculus: High School

Chapter 13 / Lesson 2
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