Question: Let f be a continuous function on [3, 1]such that f(3) = 1 , f(1) = 7 . Which of the following is a consequence

Let f be a continuous function on [3, 1]such that f(3) = 1 , f(1) = 7 .

Which of the following is a consequence of the Intermediate Value Theorem without further restrictions on f?

1. f(c) = 1 for some c in (3, 1)

2. f(c) = 1 for some c in (3, 1)

3. f(c) = 0 for some c in (3, 0)

4. f(0) = 0

5. 1 f(x) 7 for all x in (3, 1)

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