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

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) (Show Source): You can put this solution on YOUR website!
Graph 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-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.

The y-intercept (0,-8/15)
:

Happy Calculating!!!
RELATED QUESTIONS
Sketch the graph of y=f(x)=x^3+2x^2-15x/x^2-4x-12. Complete the table. Include all... (answered by lynnlo)

Sketch the graph of y=f(x)=x^3+2x^2-15x/x^2-4x-12. Complete the table. Include all... (answered by lynnlo)

For the function: (x^3+2x^2-4x-8)/2x^2-8 a) Find the domain of the function, and... (answered by robertb,KMST)

For the following two functions: determine if there are any holes, find all intercepts,... (answered by stanbon)

Graph the following. Label all x-intercepts, y-intercepts, and any asymptotes.... (answered by jim_thompson5910)

f(x)= x^2-4x+4/x-1 a) Identify the x & y-intercepts b) Find all vertical, horizontal... (answered by stanbon)

f(x)= x +5/ x^2 +4x- 32 graph the following rational function labeling all asymptotes... (answered by josgarithmetic)

Rational Functions Graph and show all asymptotes and intercepts. a. x/x^2-4 b.... (answered by stanbon)

In my homework, I am asked to graph a hyperbola by first identifying the x-intercepts,... (answered by solver91311)