$\"\"$

The function is $\"\"$ .

Increasing and decreasing function :

1. If $\"\"$ for all $\"\"$ in $\"\"$ , then $\"\"$ is decreasing on $\"\"$ .

2. If $\"\"$ for all $\"\"$ in $\"\"$ , then $\"\"$ is increasing on $\"\"$ .

$\"\"$

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

Equate it to zero to find the critical numbers.

$\"\"$

The critical number is $\"\"$ .

The function has a discontinuity at $\"\"$ .

Consider the test intervals to find the interval of increasing and decreasing.

Test intervals are $\"\"$ and $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

So the function is decreasing over the intervals $\"\"$ and $\"\"$ .

$\"\"$

The function is decreasing over the interval $\"\"$ .