Give an Example of a Function That Is Defined on a Closed

question 86

Essay

Give an example of a function that is defined on a closed interval but which does not have an absolute maximum on the interval. Does the existence of this function contradict the Extreme Value Theorem? Why or why not?

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Definitions:

Pulmonary Circulation

The part of the circulatory system that carries deoxygenated blood from the right side of the heart to the lungs and returns oxygenated blood back to the heart.

Right Atrium

The right atrium is one of the four chambers of the heart, responsible for receiving deoxygenated blood from the body through the venae cavae and pumping it into the right ventricle.

Right Ventricle

The chamber within the heart that is responsible for pumping deoxygenated blood to the lungs via the pulmonary artery.

Left Atrium

One of the four chambers of the heart, which receives oxygenated blood from the lungs and pumps it to the left ventricle.