(Group B) Suppose f: [0, 1] → R is a continuous function such that f(0) = f(1). Prove [0,1] such that f(c) = f(c- that there exists a point c E 0,

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Q: → [0, ∞) defined by f (x) = Vx + 2. Prove that f is 17. Consider the function f: (-2, 0) surjective.

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Q: (a) ƒ : Z8 → Z₁ defined by f(x) = x Is f a function? Y/N If yes, is f... Onto? Y/N One-to-one? Y/N

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A: Given function f:01→R f is not continuous, but f satisfies the conclusion of extreme value theorem

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A: Intermediate value theorem : Suppose be a continuous function then it takes all values between .

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