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Analyze and sketch a graph of the function f(x) = fraction {x}{x+1}

Question:

Analyze and sketch a graph of the function {eq}\displaystyle f(x) = \frac {x}{x+1} {/eq}

Domain and Range

We are supposed to analyze the given function and if possible, then use its graph as well to support the arguments we produce. We will start off by defining the domain and range of the function followed by its asymptotes.

Answer and Explanation:


We have,

{eq}\displaystyle f(x) = \frac {x}{x+1} {/eq}

Now,

Domain: We need to find the set of all the real numbers for which our function is...

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Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range

from Math 105: Precalculus Algebra

Chapter 4 / Lesson 9
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