Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The end behaviors of a function simply denote where the function is headed at x approaches negative and positive infinity. In $f(x)=\left(\frac{1}{3}\right)^x+2$, 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:

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