Sunday

December 21, 2014

December 21, 2014

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

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 6:32pmy = (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, ...

pre calculus - given the following rational function a. state the domain b. find...

precalculus - given the following rational function f(x)= x^2+5x-7 / x-4 state ...

Calculus - Which of these rational functions has a ) horizontal asymptote? a ...