Using the concept of asymptotes, it is found that for this function, they are: y = 3 and x = 0.
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- A horizontal asymptote is the value of y which is the limit of the function as the input, in this case x, goes to infinity.
- A vertical asymptote is the value of x for which the function goes to infinity.
From the graph:
- [tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex], and thus, y = 3 is an horizontal asymptote.
- [tex]\lim_{x \rightarrow 0} f(x) = \infty[/tex], and thus, x = 0 is a vertical asymptote.
A similar problem is given at https://brainly.com/question/23535769
