Question 909042
Very much recommend using a graphing calculator 
0r
Free software downloaded at: https://www.padowan.dk/download/
Picture worth a thousand words
{{{drawing(300,300,   -10,30,-10,10,  blue(line(-2,10,-2,-10))  ,  
 grid(1),
circle(1, 0,0.4),
circle(0, -4,0.4),
graph( 300, 300, -10,30,-10,10,0,(8x   -   8)/(x + 2), 8 ))}}}
Domain(x-values) (-2, ∞)
Range (y-values) (−∞, 8)
algebraically 
x-intercept (y = 0)
y-intercept(x = 0)
Vertical asymptote: x = -2 (Denominator  ≠  0) x  ≠  -2
Horizontal asymptote : y = 8
{{{ Let r(x) = (8x   -   8)/(x + 2) = (8 - 8/x)/(1 + 2/x)}}}
as x becomes large: r(x) approaches 8