relative minimum at and located at the point
concaveup in.
Concavity
concavedownin.
, locatedat the point
Inflectionpoints
Hereis a sketchof the graph:
Example3:AnalyzingRadicalFunctions
Considerthe function
GeneralProperties
The domainof is , and it has a zero at
Asymptotesand Limitsat Infinity
Giventhe domain,we note that thereare no verticalasymptotes.We note that.
Differentiability
for the entiredomainof Hence is increasingeverywherein its domain.
is not definedat , so is a criticalvalue.