Quick question! For x^2/5-x, would this be a slant asymptote? and if so what would the slant be?

Question

mathmale · Answer

Let me verify this expression / function:  Do you mean$$\frac{ x^2 }{ (5-x) }?$$
Note that the order (2) of the numerator is 1 greater than the order of the denominator (1).  In cases like this you will likely have a slant asymptote.  

To find this slant asymptote, divde the denominator into the numerator, using long division.  Please try this now.

sgayton27 · Answer

-x-5

mathmale · Answer

Great.  I get the same result.  This means that your slant asymptote has a slope of -1 and a y-intercept of (0,-5).  Nice work!

sgayton27 · Answer

perfect just fnished a test and wanted to make sure i was right, thanks so much!

mathmale · Answer

My great pleasure!  See you again on OpenStudy.