Posted by **ladybug** on Saturday, November 10, 2012 at 6:04pm.

Given the following rational function, find:

A. horizontal asymptotes

B. vertical asymptote(s), if any

C. oblique asymptote(s), if any

f(x)=x^2-x-2/2x^2-x-21

- college algebra -
**Reiny**, Saturday, November 10, 2012 at 6:32pm
y = (x-2)(x+1)/((x+3)(2x-7) )

a) as x --->∞

the curve is approximated by

y = x^2/2x^2 = 1/2

approaching from below y=1/2 for positive x's

and approaching from above y = 1/2 for negative large x's

Anyway, y = 1/2 is the horizontal asymtote

b) at vertical asymptotes, the denominator is zero, so

x = -3 and x = 7/2 are vertical asymptotes

c) since the numerator and denominator are of the same degree, there is no oblique asymptote

## Answer this Question

## Related Questions

- College Algebra - 1.Use completing the square to describe the graph of the ...
- college algebra - Given the following rational function, find a. the horizontal ...
- College Algebra - Given the following rational functions,find:a.)the horizontal ...
- Precalculus - Write an equation for rational function with given properties. a...
- College Algrbra - Given the following rational function, f(x)=x^2-x-2/ax^2-x-21 ...
- college algebra - The following rational function describes blood concentration...
- Given the following rational function - Given the following rational function, ...
- calculus - The following rational function describes concentration in blood of a...
- pre calculus - given the following rational function a. state the domain b. find...
- algebra II - The following rational function describes concentration in blood ...

More Related Questions