Answer:
Step-by-step explanation:
According to the given table, we see that for x = -1, the function is not defined, that means that the rational function has a restriction there, and such restriction is shown as an asymptote in the graph of the function.
So, basically, we could say that the given rational function has one asymptote and it's at x = -1, which is a vertical asymptote, because all forms like x = k, are vertical lines, that is, they are parallel to the vertical axis.
Therefore, the right answer is the third choice.
The function is not defined at -1. The function has vertical asymptotes when x = -1. Then option c is correct.
An asymptote is a line that constantly reaches a given curve but does not touch at an infinite distance.
We know that
The rational function has a vertical asymptote.
It is mentioned that the function is undetermined results when we give the value of x, y is not determined.
At this point, the value of y shoots to infinity.
Let, the rational function.
[tex]\rm y = \dfrac{P}{Q}[/tex]
For Q = 0, the function is not defined.
It can be seen that the function is not defined at -1.
Then the function will be
[tex]\rm y = \dfrac{c}{(x + 1)}[/tex]
Where c is a constant.
The function has vertical asymptotes when x = 0, x = 3, and x = 5.
Thus, option c is correct.
More about the asymptote link is given below.
https://brainly.com/question/8493280
