## ValentinaT 2 years ago Identify the asymptotes of the graph of each function. Then graph the function.

1. ValentinaT

$y = \frac{ 1 }{ x + 2 }$

2. Mertsj

The vertical asymptote occurs where the denominator is 0. What value of x makes the denominator 0?

3. ValentinaT

-2.

4. Mertsj

So the vertical asymptote is x = -2

5. ValentinaT

Okay, now to graph the function.

6. Mertsj

|dw:1368222257318:dw|

7. Mertsj

Now we know that the degree of the numerator is less than the degree of the denominator so that means that the y axis is a horizontal asymptote.

8. Mertsj

So you need to figure out which two areas the two branches will be in.

9. Mertsj

|dw:1368222410758:dw|

10. Mertsj

Can you figure that out?