\"\"

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The function is \"\".

\

Observe the graph :

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The function \"\" is increasing on the intervals \"\" and \"\"

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The function \"\" is decreasing on the interval  \"\" and \"\".

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\"\"

\

Find open interval analytically.

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\"\"

\

Apply derivative to find the critical numbers.

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\"\"

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Equate it to zero .

\

\"\"

\

The critical points are \"\" and \"\".

\

Test intervals are \"\", \"\", \"\" and \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
Test intervalsTest valueSign of \"\"Conclusion
\"\"\"\"\"\"Decreasing
\"\"\"\"\"\"Increasing
\"\"\"\"\"\"Decreasing
\"\"\"\"\"\"Increasing
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The function \"\" is increasing on the intervals \"\" and \"\"

\

The function \"\" is decreasing on the interval  \"\" and \"\".

\

\"\"

\

The function \"\" is increasing on the intervals \"\" and \"\"

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The function \"\" is decreasing on the interval  \"\" and \"\".