Question

Identify the asymptotes of the graph of each function. Then graph the function.

Answer 1

\[y = \frac{ 1 }{ x + 2 }\]

Answer 2

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

Answer 3

-2.

Answer 4

So the vertical asymptote is x = -2

Answer 5

Okay, now to graph the function.

Answer 6

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.

Answer 7

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