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