Question

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

Answer 1

`\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,`