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f(x)=2*(1/3)^x

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

f(x)=2*(1/3)x

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Jack M. | Keys to Chemistry, Calculus, Literature and MoreKeys to Chemistry, Calculus, Literature...
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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.