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

question 32

Essay

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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Definitions:

Hearing Loss

A partial or total inability to hear sound in one or both ears.

Background Noise

Ambient sound that is not the primary focus but may interfere with or alter the perception of the main audio being listened to or recorded.

Distracting

The act of diverting attention from the intended object of focus, leading to decreased productivity or concentration.

Ignore

To refuse to take notice of or acknowledge; to deliberately overlook or exclude.