Explanation
Given the image of the graph, we are asked to find the vertical asymptote and the horizontal asymptote of the graph.
A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.
Answer: From the graph, the vertical asymptote is;
[tex]x=-4[/tex]
An asymptote is a line that a graph approaches without touching. Similarly, horizontal asymptotes occur because y can come close to a value, but can never equal that value.
Answer: From the graph, the horizontal asymptote is given as;
[tex]y=2[/tex]
