Question: Let f be a continuous function on the closed interval [-3,6]. If f(-3)=-1 and f(6)=3 then the intermediate value Theorem guarantees that 1) f(0)=0 2)

Let f be a continuous function on the closed interval [-3,6]. If f(-3)=-1 and f(6)=3 then the intermediate value Theorem guarantees that

1) f(0)=0

2) f'(c)=4/9 for at least one c between -3 and 6

3) -1 <= f(x) <= 3 for at least c between -3 and 6

4) f (c)=0 for at least c between -1 and 3

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