graphing asymptotes for a rational functions\ntwo copies of the same rational function are shown below\non…

graphing asymptotes for a rational functions\ntwo copies of the same rational function are shown below\non the graph below draw the horizontal asymptote and write the equation for the horizontal asymptote underneath.\n$f(x)=\\frac{-2}{x + 2}$\nclear all draw\nhorizontal asymptate:\non graph below, draw the the vertical asymptote and write the equation for the vertical asymptote underneath.\n$f(x)=\\frac{-2}{x + 2}$\nclear all draw:\nvertical assmptote:

graphing asymptotes for a rational functions\ntwo copies of the same rational function are shown below\non the graph below draw the horizontal asymptote and write the equation for the horizontal asymptote underneath.\n$f(x)=\\frac{-2}{x + 2}$\nclear all draw\nhorizontal asymptate:\non graph below, draw the the vertical asymptote and write the equation for the vertical asymptote underneath.\n$f(x)=\\frac{-2}{x + 2}$\nclear all draw:\nvertical assmptote:

Answer

Answer:

Horizontal Asymptote: (y = 0) Vertical Asymptote: (x=-2)

Explanation:

Step1: Find horizontal asymptote

For a rational function (y=\frac{f(x)}{g(x)}) where (f(x)=- 2) (degree (0)) and (g(x)=x + 2) (degree (1)). When the degree of the numerator (n) is less than the degree of the denominator (m) ((n=0,m = 1)), the horizontal asymptote is (y = 0).

Step2: Find vertical asymptote

Set the denominator equal to zero. For (g(x)=x + 2), solve (x+2=0). Subtracting (2) from both sides gives (x=-2). So the vertical asymptote is (x =-2).