Question: a) Find an example of a function f:[0,1] such that f is not continuous, but f does satisfy the conclusions of the extreme value theorem.

a) Find an example of a function f:[0,1] such that f is not continuous, but f does satisfy the conclusions of the extreme value theorem.

b)Let f:cbe a function where c is a closed and bounded interval. Prove that if f is continuous then f is bounded

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