Let $f(x)=\frac{2x+3}{x+1}$.  

1. Find $f(100)$, $f(1000)$, and $f(10000)$, to four decimal places.

   Hint (a):

   $f(100)=2.0099$

2. What is the horizontal asymptote of $f(x)$?

   Answer (b):

   $y=2$

3. Does $f(x)$ have a vertical asymptote? If so, what is its equation?

   Hint (c):

   Check for division by zero.

4. Rewrite $f(x)$ as a stretch and shift of $y=\frac{1}{x}$.

   Step (d):

   $f(x)=\frac{(x+1)+(x+1)+1}{x+1}$