Let f, g : JR-+ JR be continuous at a point c, and let h(x) :=sup {/(x), g(x)} for x e R. Show that h(x) = ~ (f(x) + g(x)) + 41/(x)- g(x)l for all x e R. Use this to show that his continuous at c.

BIOFINALEXAM 1. CHAPTER45 :PART1 A. PopulationEcologyisconcernedwith i. Thechangesinpopulationsize ii. Factorsthatregulatepopulationsovertime B. Populations-agroupofindividualsofasinglespeciesthatoccupythesamegeneral area;agroupofindividualsthatshareacommongenepool ;thenumberand distributionofindividuals...