The Following Function Is a Counterexample for the Converse of the Intermediate

question 67

Multiple Choice

The following function is a counterexample for the converse of the Intermediate Value Theorem, which states:
If assumes all the values between and in the interval , then is continuous on :

• A) on
• B) on
• C) on
• D) on
• E) on

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Definitions:

Island Arc

A curved chain of volcanic islands located at a tectonic plate margin, above a subducting zone.

Linear Island Chain

A series of islands aligned in a straight line, often created by the movement of a tectonic plate over a stationary hotspot in the Earth's mantle.

Seamount

A submarine mountain, in some cases flat-topped, that rises above the seafloor.

Pacific Ocean

The largest and deepest of the world's ocean basins, extending from the Arctic in the north to the Antarctic in the south.