The graph of the function f(x)=10/x+2 is shown below what is the vertical asymptote of the function

The vertical asymptote of the function is x=-2.

Explanation:

The given rational function is,

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.

So the vertical asymptote is .

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.