\"\"

\

The function is \"\".

\

Observe the graph :

\

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

\

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

\

\"\"

\

Find open interval analytically.

\

\"\"

\

Apply derivative to find the critical numbers.

\

\"\"

\

Equate it to zero .

\

\"\"

\

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

\

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

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
Test intervals \

Test value

\ 		\

sign of \"\"

\ 		conclusion
\"\"\"\"\"\"Increasing
\"\"\"\"\"\"Decreasing
\"\"\"\"\"\"Decreasing
\"\"\"\"\"\"Increasing
\

So the function \"\" is increasing on the intervals \"\" and \"\".

\

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

\

\"\"

\

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

\

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