AP Calculus ABhardmcq1 pt
The graph of has a cusp at . Which of the following must be true?
A. is discontinuous at
B.
C. exists and is nonzero
D. is continuous at , but does not exist
Explanation
Core Concept
At a cusp the function value is well-defined and the curve is continuous, but the tangent line does not exist. The one-sided slopes disagree, so fails to exist.
Correct Answer
D is continuous at , but does not exist
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