Thursday

October 2, 2014

October 2, 2014

Posted by **angie** on Tuesday, January 10, 2012 at 1:04pm.

- math/calculus -
**Steve**, Tuesday, January 10, 2012 at 3:28pmYou have

(x-3)(x+3) / x(4x+1)

The domain is all real numbers except where the denominator is zero. So, that would be all reals except 0 and -1/4

There is a horizontal asymptote at y = 1/4.

There are vertical asymptotes at x = -1/4 and x=0.

For x between -1/4 and 0, y > 0

As x gets big, y lies below the asymptote.

So, the range outside (-1/4,0) is all reals less than 1/4.

y' = (x^2+72x+9)/(4x^2+1)^2

y' = 0 when x = -.125

y(-.125) = 143.75

So, the range is all reals

< 1/4 or >= 143.75

**Answer this Question**

**Related Questions**

Pre-calculus - Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19...

calcius - Determine whether the relation represents a function. If it is a ...

math (2nd Try) - You have 6 cups of sugar. It takes 1 cup of sugar to make 24 ...

algebra - Find the domain and range of the relation and determine whether it is ...

Math - You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The...

precalculus check immediately - suppoe f is a function with domain [1,3]and ...

calculus - Consider the function . a. Find the domain and range of h. b. What is...

math - questions involving domain and range... 1. Find the domain of the ...

Calculus - I'm doing graphs/domain/range of basic functions. I have three ...

calculus - given the following piecewise function x+11 for -9<=x<-3 y= { 2...