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Prove using the Extreme Value Theorem: if g: [a,b] -> R continuous, show that there exist a c subset of d such that g([a,b]) = [c,d] for some c,d in R. (R =Real numbers)

Prove using the Extreme Value Theorem:

if g: [a,b] -> R continuous, show that there exist a c subset of d such that g([a,b]) = [c,d] for some c,d in R. (R =Real numbers)

 
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