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:

Behavior

Behavior refers to the actions or reactions of an organism, usually in relation to its environment, which can be observed and measured externally.

Hormones

Chemical messengers secreted by endocrine glands, traveling through the bloodstream to affect various physiological processes and behavior.

Problem Solve

The method of identifying answers to challenging or intricate problems.

Kohler

Wolfgang Köhler, a psychologist who was a key figure in the development of Gestalt psychology, focusing on perception and problem-solving in humans and animals.