A Function F Is Continuous at the Point If

question 177

Multiple Choice

A function f is continuous at the point if the following conditions are satisfied. ​
1) is defined.
2) exists.
3) .
​
Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s) for continuity that are violated.
​ ​ ​

• A) ; conditions 1, 2
• B) ; conditions 2, 3
• C) ; conditions 1, 2
• D) ; condition 2
• E) Continuous everywhere.

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Definitions:

Primary Bronchi

The major air passages that diverge from the lower end of the trachea and enter the lungs to facilitate respiration.

Heart

A muscular organ that pumps blood through the circulatory system by rhythmic contractions.

Lung

A pair of respiratory organs situated within the thorax, responsible for gas exchange between the air and the blood.

Organ Systems

Groups of organs working together to perform complex functions necessary for life and health.