Summerize all the pertinent information obtained by applying
Summerize all the pertinent information obtained by applying the final version of the graphing stragegy to f, and sketch the graph of f. f(x)= (x-1)^3(x+3)
Solution
f(x) = (x-1)3 (x+3)
roots = 1 ,-3
as x-> infintiy : y -> infinity
as x-> - infinty : y-> infintiy
derivative test : 3(x-1)2 (x+3) + (x-1)3 = x=1 , -2
again derivative : x=1 is inflection point
bo vertical asymptote
