# Thread: For the function g whose graph is given, state the following. To type or -, enter IN

1. ## For the function g whose graph is given, state the following. To type or -, enter IN

For the function g whose graph is given, state the following. To type or -, enter INFINITY or -INFINITY.

I don't understand how to do these it says to put infinity and -infinity into the answer box, but both are coming up wrong is my answer to this wrong and how do i know how to determine where th asymptotes are? Please Help!!!!!

(a)

(b)

(f) The equations of the asymptotes. (Select all that apply.)
x = -3
x = -2
x = 0
x = 2
x = 3
y = -3
y = -2
y = 0
y = 2

2. Originally Posted by plstevens
For the function g whose graph is given, state the following. To type or -, enter INFINITY or -INFINITY.

I don't understand how to do these it says to put infinity and -infinity into the answer box, but both are coming up wrong is my answer to this wrong and how do i know how to determine where th asymptotes are? Please Help!!!!!

(a)
As we are taking limits as x goes to either + or - infinity all we need to do is look at what the trend of the function is as we go to these limits.

See how g(x) is pretty much flattened out at y = 2 on the right side of the graph? Then apparently $\lim_{x \to \infty}g(x) = 2$. As similar argument shows that $\lim_{x \to -\infty}g(x) = -2$.

-Dan

3. Originally Posted by plstevens
For the function g whose graph is given, state the following. To type or -, enter INFINITY or -INFINITY.

I don't understand how to do these it says to put infinity and -infinity into the answer box, but both are coming up wrong is my answer to this wrong and how do i know how to determine where th asymptotes are? Please Help!!!!!

(f) The equations of the asymptotes. (Select all that apply.)
x = -3
x = -2
x = 0
x = 2
x = 3
y = -3
y = -2
y = 0
y = 2
From parts a and b you know two asymptotes: You have horizontal asymptotes at y = -2 and y = 2. Now look for vertical asymptotes: places where the function "blows up" or "blows down." I see these at x = -2, 0, 3[/tex].

-Dan