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#### karush

##### Well-known member

- Jan 31, 2012

- 2,678

I thot I posted this before but couldn't find it .... if so apologize

Let f be a function that is continuous on the closed interval [2,4] with $f(2)=10$ and $f(4)=20$

Which of the following is guaranteed by the $\textbf{Intermediate Value Theorem?}$

$a.\quad f(x)=13 \textit{ has a least one solution interval } (2,4)$

$b.\quad f(3)=f(15)$

$c. \quad \textit{f attains a maximum on the open interval } (2,4)$

$d.\quad f'(x)=5 \textit{ has at least one solution in the open interval }(2,4)$

$e. \quad f'(x)>0\textit{ for all x in the open interval }(2,4)$

Let f be a function that is continuous on the closed interval [2,4] with $f(2)=10$ and $f(4)=20$

Which of the following is guaranteed by the $\textbf{Intermediate Value Theorem?}$

$a.\quad f(x)=13 \textit{ has a least one solution interval } (2,4)$

$b.\quad f(3)=f(15)$

$c. \quad \textit{f attains a maximum on the open interval } (2,4)$

$d.\quad f'(x)=5 \textit{ has at least one solution in the open interval }(2,4)$

$e. \quad f'(x)>0\textit{ for all x in the open interval }(2,4)$

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