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

Answer:

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

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

Step-by-step 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 $x\rightarrow -\infty;f(x)\rightarrow 0$