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What are the end behaviors of f(x) = (1/3)^x – 2 ?

1 Answer

1 vote

Answer:


\lim_(x\to -\infty) f(x)=\infty,\\\lim_(x\to \infty) f(x)=2,

Explanation:

The end behaviors of a function simply denote where the function is headed at x approaches negative and positive infinity. In
f(x)=\left((1)/(3)\right)^x+2, as
x gets approaches
-\infty, the function will approach
y=\infty. As
x approaches
\infty, the function will approach
y=2.

We can write this in the following format to denote these end behaviors:


\lim_(x\to -\infty) f(x)=\infty,\\\lim_(x\to \infty) f(x)=2,

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