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Calculus · Studypool

Make a sketch of a single graph

Overview

Make a sketch of a single graph, f(x), that meets all of the following criteria: (submit your answer as an image)

  • f(x) is a single continuous function
  • f(-1) =-1
  • f'(-3) = DNE, f'(-1) = 0, and f' (3) = 0
  • f'(x) < 0for - 5<x<-3and 3 < x<4
  • f(x) > 0for -3<x<-land -1 <x<
  • f"(x) =0 for - 5 <x<-3
  • f"(x) < 0for - 3<x<-1and 1<x < 4
  • f"(x) > 0for -1<x<1