Answer:
Vertical asymptote:x=-4
Horizontal asymptote: y=2
Step-by-step explanation:
The given rational function is
[tex]f(x)=\frac{2x}{x+4}[/tex]
To find the vertical asymptote we equate the denominator to zero and solve for x.
x+4=0
The equation of the vertical asymptote is
x=-4
To find the horizontal asymptote we take limit to infinity. Or simply express the coefficient of x in the numerator over the coefficient of x in the denominator since this is a proper rational function.
The horizontal asymptote has equation
[tex]y=\frac{2}{1} =2[/tex]
