Posted by **Max** on Monday, October 24, 2011 at 8:18pm.

What is the vertical and horizontal asymptotes of

..

3x

_________

x^2-3x-10

- pre calc -
**Reiny**, Monday, October 24, 2011 at 8:59pm
vertical asymptotes occur when the denominator is zero, so

x^2 - 3x - 10 = 0

(x-5)(x+2) = 0

x = 5 or x = -2 are vertical asymtotes

let x ---> ∞

so 3x/(x^2 - 3x-10) ---> 0

the horizontal asymptote is y = 0 , which is the x-axis

## Answer This Question

## Related Questions

- Pre-Cal - State the transformations. Identify holes, vertical asymptotes, and ...
- Pre-Calc - 1/x-3 +1 Use a graphing utility to obtain the graph of the function. ...
- Algebra 2 - Identify all horizontal and vertical asymptotes of the graph of the ...
- Math - All rational functions can be expressed as f(x) = p(x)/q(x), where p and ...
- Math - asymptotes - Identify all asymptotes. 1. y= 1 / 2-√x^2 - 3x the ...
- Pre-Calc - How do I determine if there are common factors for x^5+3x^3+5x/4X^4+...
- algebra - For each of the rational functions find: a. domain b. holes c. ...
- Geomatry - For each of the rational functions find: a. domain b. holes c. ...
- Math Functions - f(x)= 3x+2/2x+4 graph the function horizontal and vertical ...
- Pre-Cal - use a graphing calculator to obtain the graph of the function. What ...

More Related Questions