a. Find the domain of function

b. Find

c. Find all vertical and horizontal asymptotes

d. Find

Here are my answers...are they correct?

a. All real numbers not equal to -2

b.

c. Vertical:

Horizontal:

d.

Printable View

- October 24th 2009, 06:20 PMlive_laugh_luv27Function analysis

a. Find the domain of function

b. Find

c. Find all vertical and horizontal asymptotes

d. Find

Here are my answers...are they correct?

a. All real numbers not equal to -2

b.

c. Vertical:

Horizontal:

d. - October 24th 2009, 06:43 PMProve It

a) Only half right.

Polynomials are continuous everywhere, so the quotient of polynomials is continuous everywhere except where the denominator is .

So if the denominator is , we have

or .

Thus the domain of the function is .

b) Incorrect.

Notice that we can rewrite the function as

.

Now find .

c) Nearly correct.

We can further rewrite the function as

There will be a vertical asymptote at and a horizontal asymptote at .

d) Correct.

As .

Therefore .

Thus . - October 24th 2009, 06:47 PMlive_laugh_luv27
So for b, would the correct answer be -2? I'm still unsure of this part.

- October 24th 2009, 06:48 PMProve It