# Sketch a graph of the function. List any extrema, and indicate any asymptotes or points of...

## Question:

Sketch a graph of the function. List any extrema, and indicate any asymptotes or points of inflection.

{eq}\displaystyle f (x) = \dfrac {x + 1} {x - 2} {/eq}.

## Rational Function Graph:

A rational function can have a restricted domain because the division by zero does not exist. Therefore it is necessary to eliminate all those numbers in which the denominator is zero. Eliminated numbers, in general, determine vertical asymptotes, which limit the plot of the graph of the function.

## Answer and Explanation:

Step 1: We determine domain.

{eq}f(x)= \frac{x+1}{x-2} {/eq}.

The domain of {eq}f{/eq} are the values of {eq}x {/eq} for which the denominator is...

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#### Learn more about this topic:

Graphing & Analyzing Rational Functions

from Precalculus: High School

Chapter 13 / Lesson 2
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