Question 561096: y= x^2+7x+10
....._________
.....x^2+17+16
find vertical asymptotes horizontal asymptotes, roots , y-intercept and sketch the graph Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! y= x^2+7x+10
....._________
.....x^2+17+16
find vertical asymptotes horizontal asymptotes, roots , y-intercept and sketch the graph
------------------
Horizontal asymptote: y = x^2/x^2 = 1
-------------------
Factor to find vertical asymptotes:
--
y = [(x+2)(x+5)]/[(x+16)(x+1)]
---
Vertical asymptotes where x = -16 and where x = -1.
------------------------------------
Roots:
Let y = 0 and solve for "x":
The fraction will be zero when x = -2 and when x = -5.
-----------------------------------------------------
y-intercept:
Let x = 0, then y = (10)/(16) = 5/8
-------
Sketch:
------------------
Cheers,
Stan H.
(