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4-56.

Let $f(x)=\frac{2x+3}{x+1}$.

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

$f(100)=2.0099$

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

$y=2$

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

Check for division by zero.

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

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