\
The function is .
Since the function is a radical function, it domain is .
Find the critical numbers by applying derivative .
\\
Equate it to zero.
\
Therefore the critical numbers are ,
,
and
.
Test intervals are ,
and
.
Test intervals | \ \
Test value \ | \
\
Sign of | \
Conclusion | \
![]() | \
![]() | \
\
| \
Decreasing | \
![]() | \
![]() | \
\
| \
Increasing | \
![]() | \
![]() | \
\
| \
Decreasing | \
The function is decreasing on the intervals
and
.
The function is increasing on the interval
.
The function is decreasing on the intervals
and
.
The function is increasing on the interval
.