Answer: The vertical asymptote of the function is x=-2.
Explanation:
The given rational function is,
[tex]f(x)=\frac{10}{x+2}[/tex]
The vertical asymptotes are vertical lines. The graph of function approaches to that line but never intersect that line. As the value of x approaches to the vertical asymptote the value of function is undefined.
To find the vertical asymptotes equal denominator function equal to 0.
[tex]x+2=0[/tex]
[tex]x=-2[/tex]
So the vertical asymptote is [tex]x=-2[/tex].
From the graph of f(x) it is noticed that the as the value of x approaches towards -2 the value of f(x) approaches to infinity or negative infinity.
