CK12 Calculus - Single Variable

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.