SOLUTION: Graph f(x)= 4x+8/x^2-2x-15 Indicate all intercepts and asymptotes. I am almost positive all my calculations are correct but my graph doesn't seem to be coming out right. Thank

Algebra ->  Rational-functions -> SOLUTION: Graph f(x)= 4x+8/x^2-2x-15 Indicate all intercepts and asymptotes. I am almost positive all my calculations are correct but my graph doesn't seem to be coming out right. Thank      Log On


   

Question 61021: Graph f(x)= 4x+8/x^2-2x-15 Indicate all intercepts and asymptotes.

I am almost positive all my calculations are correct but my graph doesn't seem to be coming out right. Thanks in adavnce!!!!
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Graph f%28x%29=%284x%2B8%29%2F%28x%5E2-2x-15%29 Indicate all intercepts and asymptotes.
The horizontal asymptote is y=0, because the degree of the numerator is less the the degree of the denominator.
:
The vertical asymptotes are when the denominator=0:
x%5E2-2x-15=0
(x-5)(x+3)=0
x=5 and x=-3 are vertical asymptotes.
:
The x-intercept happens when the numerator =0.
4x+8=0
4x=-8
4x/4=-8/4
x=-2 The x-intercept is (-2,0)
:
The y-intercept happens when x=0.
f%280%29=%284%280%29%2B8%29%2F%280%5E2-2%280%29-15%29
f%280%29=8%2F-15
The y-intercept (0,-8/15)
:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%284x%2B8%29%2F%28x%5E2-2x-15%29%29
Happy Calculating!!!