If F Is Continuous Over $[ 1,3 ]$ And Differentiable Over $( 1,3 )$

If f is continuous over $[ 1,3 ]$ and differentiable over $( 1,3 )$ , suppose that $2 \leq f ^ { \prime } ( x ) \leq 5$ for all x in $[ 1,3 ]$ , and $f ( 1 ) = 4$ . What is the maximum possible value that f(3) can be? What is the minimum possible value that f(3) can be?

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