Answer:
B
Step-by-step explanation:
Look at the graph, it passes to (0,3), so you need to replace that coordinate into A,B,C,D. Then you can see, there is only B and C satisfies.
and

Next step, you can see when x approach to infinite then Y approach to 0.
Hence, we will take limit of B and C, if limit B or C equals to 0 then we will choose.

and
![\lim_{x \to \infty} {[(\frac{1}{2})^x+2]}= \lim_{x \to \infty} {(\frac{1}{2})^x}+ \lim_{x \to \infty} {2}=0+2=2](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%7B%5B%28%5Cfrac%7B1%7D%7B2%7D%29%5Ex%2B2%5D%7D%3D%20%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%7B%28%5Cfrac%7B1%7D%7B2%7D%29%5Ex%7D%2B%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%7B2%7D%3D0%2B2%3D2)
We can see that only B is satisfied.