Answer the Question $\mathrm { f }$ Continuous At $\mathrm { x } = 0 ?$

question 20

True/False

Answer the question.
-Is $\mathrm { f }$ continuous at $\mathrm { x } = 0 ?$
$f ( x ) = \left\{ \begin{array} { l l } x ^ { 3 } , & - 2 < x \leq 0 \\- 4 x , & 0 \leq x < 2 \\5 , & 2 < x \leq 4 \\0 , & x = 2\end{array} \right.$

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Definitions:

Sea of Japan

A marginal sea between the Japanese archipelago, the Korean Peninsula, and Russia.

Persian Gulf

A shallow marginal sea of the Indian Ocean that lies between the Arabian Peninsula and Iran, known for its strategic and economic importance due to its oil reserves.

Back-arc Basin

A geological feature located behind a volcanic arc, formed by the stretching and sinking of an oceanic plate.

Trench

Long, narrow, and deep depressions on the ocean floor, often occurring at the boundaries between tectonic plates.