Example2:
AnalyzingPolynomialFunctions
Considerthe function
GeneralProperties
The domainof is and the -interceptat
The functioncan be factored
and thus has
zerosat
Asymptotesand limitsat infinity
Giventhe domain,we note that thereare no verticalasymptotes.We note that and
Differentiability
if. Theseare the criticalvalues.We note
that the functionis differentiableat everypointof its domain.