Apentix/AP Calculus AB/Ap calc ab u1/Question
AP Calculus ABhardmcq1 pt

A company's profit function is modeled by a function that approaches a vertical asymptote. What can be concluded about the function?

A.A) The function is discontinuous at the point of the vertical asymptote.
B.C) The function approaches a horizontal asymptote.
C.B) The function is continuous everywhere except at the point of the vertical asymptote.
D.D) The function never reaches its maximum value.

Explanation

Core Concept

The primary reason the statement is true is that the company's profit function is modeled by a function that approaches a vertical asymptote, which indicates that the function is discontinuous at that point. This is a characteristic of rational functions with vertical asymptotes, not rational functions with holes. (B) is incorrect because the function is discontinuous at the point of the vertical asymptote. (C) is incorrect because a horizontal asymptote represents a limit as x approaches infinity, not as x approaches a point of discontinuity. (D) is incorrect because the function can reach its maximum value at the point of the vertical asymptote.

Correct Answer

A

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