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

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)Solut

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