Apentix/AP Calculus AB/Ap calc ab u1/Question
AP Calculus ABmediummcq1 pt

A scuba diver approaches a coral reef, and as the depth of the water increases, the pressure on the diver increases rapidly. Based on the data from the diver's depth gauge, which of the following conclusions can be drawn about the behavior of the pressure function?

A.D) The pressure function approaches a limit as the depth increases, but the limit is unknown.
B.C) The pressure function approaches a limit as the depth increases, but never actually reaches a maximum.
C.A) The pressure function is continuous everywhere.
D.B) The pressure function is discontinuous everywhere.

Explanation

Core Concept

The primary reason this is true is that the pressure function is a well-defined mathematical function that is based on physical principles. The continuity of the function is not dependent on the diver's experience or perceptions, but on the mathematical properties of the function. Options B and D are incorrect because there is no evidence to suggest that the function is discontinuous; option C is incorrect because the pressure function actually does reach a maximum.

Correct Answer

A

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