Sunday

September 21, 2014

September 21, 2014

Posted by **fsfsfsfss** on Saturday, November 26, 2011 at 6:29pm.

(2x^3+18x^2+47x+24)/(x^2+6x+5)

- calculus -
**Damon**, Saturday, November 26, 2011 at 6:42pmAs x gets very large in magnitude this looks like

2 x^3/x^2

or in other words 2x

line with slope of 2

y = 2x

- calculus -
**Damon**, Saturday, November 26, 2011 at 7:45pmOh, when x = 0

y = 24/5

so

y = 2 x + 24/5

- calculus -
**Reiny**, Saturday, November 26, 2011 at 8:16pmSo a long division to get

(2x^3 + 18x^2 + 47x + 24)/ (x^2 + 6x + 5) = 2x + 6 + (x-6)/(x^2+6x+5)

so as x get larger, (x-6)/(x^2+6x+5)

---> 0

and we are left with

y = 2x + 6

So the slant asymptote is y = 2x + 6

**Answer this Question**

**Related Questions**

algebra - find the slant asymptote of the graph of the rational function and use...

pre-cal - what is the slant asymptote of the graph of the rational function and ...

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

pre calculus - use the seven step method to graph the following rational ...

calculus - f(x) = (9x^3 - 1x^2 + 8x + 4)/(-2x^2 - 4x - 2) What is the smallest ...

Trigonometry - F(X) = 2x^3-5x^2-19x+1 / x^2-9....I need the vertical asymptote, ...

Algebra - Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(...

Pre Cal. - Determine the slant asympotte [sic] for f (x) = (x^2 - 5x - 3)/x My ...

College Algebra - 3x-1/x^2-10x+26 Find all (real) zeros of the function Find all...

pre-calculas - Find the slant asymptote, if any, of the rational function. Do ...