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karush
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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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