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monotonía de una función es su variación con respecto a la
variable independiente. Este concepto engloba:</font>
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<font style="font-size: 16pt" size="4">Una
función, </font><img src="http://latex.codecogs.com/gif.latex?%5Cint%20%5Cleft%20%28%20x%20%5Cright%20%29" title="\int \left ( x \right )" />
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creciente en un intervalo </font><img src="http://latex.codecogs.com/gif.latex?%5Cleft%20%28%20a,b%20%5Cright%20%29" title="\left ( a,b \right )" />
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su dominio si para cualquier par de valores</font><sub><font size="4"> </font></sub><img src="http://latex.codecogs.com/gif.latex?x_{1}" title="x_{1}" /> <font size="4">y </font> <img src="http://latex.codecogs.com/gif.latex?x_{2}" title="x_{2}" /> <font style="font-size: 16pt" size="4">del intervalo, con<sub> </sub></font><img src="http://latex.codecogs.com/gif.latex?x_%7B1%7D%3C%20x_%7B2%7D" title="x_{1}< x_{2}" />
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se cumple que </font><img src="http://latex.codecogs.com/gif.latex?%5Cint%20%5Cleft%20%28%20x_%7B1%7D%20%5Cright%20%29%5Cleq%20%5Cint%20%5Cleft%20%28%20x_%7B2%7D%20%5Cright%20%29" title="\int \left ( x_{1} \right )\leq \int \left ( x_{2} \right )" />.
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caso de que se cumpla </font><img src="http://latex.codecogs.com/gif.latex?%5Cint%20%5Cleft%20%28%20x_%7B1%7D%20%5Cright%20%29%3C%20%5Cint%20%5Cleft%20%28%20x_%7B2%7D%20%5Cright%20%29" title="\int \left ( x_{1} \right )< \int \left ( x_{2} \right )" />
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P { margin-bottom: 0.21</style><font style="font-size: 16pt" size="4">,
la función es estrictamente creciente en intervalo</font><font style="font-size: 16pt" size="4"> </font><img src="http://latex.codecogs.com/gif.latex?%5Cleft%20%28%20a,b%20%5Cright%20%29" title="\left ( a,b \right )" /> .</li>
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<font style="font-size: 16pt" size="4">Una
función,</font><font style="font-size: 16pt" size="4"> </font><img src="http://latex.codecogs.com/gif.latex?%5Cint%20%5Cleft%20%28%20x%20%5Cright%20%29" title="\int \left ( x \right )" /><font style="font-size: 16pt" size="4">,
es decreciente en un intervalo</font> <img src="http://latex.codecogs.com/gif.latex?%5Cleft%20%28%20a,b%20%5Cright%20%29" title="\left ( a,b \right )" />
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su dominio si para cualquier par de valores</font><sub><font size="4"> </font></sub><img src="http://latex.codecogs.com/gif.latex?x_{1}" title="x_{1}" /> <font size="4">y </font> <img src="http://latex.codecogs.com/gif.latex?x_{2}" title="x_{2}" />
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intervalo, con</font><font style="font-size: 16pt" size="4"><sub> </sub></font><img src="http://latex.codecogs.com/gif.latex?x_%7B1%7D%3C%20x_%7B2%7D" title="x_{1}&amp;lt; x_{2}" />
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se cumple que </font><img src="http://latex.codecogs.com/gif.latex?%5Cint%20%5Cleft%20%28%20x_%7B1%7D%20%5Cright%20%29%5Cgeq%20%5Cint%20%5Cleft%20%28%20x_%7B2%7D%20%5Cright%20%29" title="\int \left ( x_{1} \right )\geq \int \left ( x_{2} \right )" />
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En caso de que se cumpla </font><img src="http://latex.codecogs.com/gif.latex?%5Cint%20%5Cleft%20%28%20x_%7B1%7D%20%5Cright%20%29%3E%20%5Cint%20%5Cleft%20%28%20x_%7B2%7D%20%5Cright%20%29" title="\int \left ( x_{1} \right )&amp;gt; \int \left ( x_{2} \right )" />
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-</style><font style="font-size: 16pt" size="4">,
la función es estrictamente decreciente en el intervalo </font><img src="http://latex.codecogs.com/gif.latex?%5Cleft%20%28%20a,b%20%5Cright%20%29" title="\left ( a,b \right )" />.
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