522,020 views
19 votes
19 votes
There are terms in this that I don’t understand like “holes”.I might need a detailed explanation :/

There are terms in this that I don’t understand like “holes”.I might need a detailed-example-1
User David Vrba
by
3.0k points

1 Answer

12 votes
12 votes

Step-by-step 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;


x=-4

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;


y=2

User Kenwen
by
2.4k points