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State wether the function is exponentional Growth or Decay, and describe its end behavior useing limits.  


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1 Answer

This is exponential decay because the term with the exponent (1/3) is positive and less than 1. 

The graph passes through the point (0,2). It rises to the left and falls to the right.

End behavior:

as x approaches +infinity, y approaches 0. (The limit as x ---->+infinity = 0)

as x approaches -infinity, y approaches +infinity. (The limit as x ----> -infinity = +infinity.

In other terms, the domain is all real numbers, and the range is y>0.