Question

Describe the end behavior of the graphed function

Answer 1

Hello,

The graphed function is y=2+2^x

lim (2+2^x) =2 if x->-infinity

lim (2+2^x) =+infinity if x->+infinity

Answer 2

As
`x\rightarrow \infty`;
`f(x)\rightarrow \infty`

As
`x\rightarrow -\infty;f(x)\rightarrow 0`

Explanation:

We have been given a function. We are asked to determine the end behavior of the given function.

We can see that our given function is an exponential function
`f(x)=e^x`.

We know that domain of
`f(x)=e^x` is
`(-\infty,\infty)` and range is
`(0,\infty)`.

We know that for the very big positive values of x, our function will approach positive infinity.

For very large negative values of x, our function approaches 0.

As
`x\rightarrow \infty`;
`f(x)\rightarrow \infty`

As
`x\rightarrow -\infty;f(x)\rightarrow 0`