Consider the table representing a rational function.

Which statement describes the graph of the function?

The function has holes when x = 0, x = 3, and x = 5.
The function has vertical asymptotes when x = 0, x = 3, and x = 5.
The function has holes when x = 0 and x = 3, and a vertical asymptote when x = 5.
The function has a hole when x = 3, and vertical asymptotes when x = 0 and x = 5.

The given rational function has vertical asymptotes. Remember that an asymptote is placed when the function has undetermined results, when we give a x-value and the y-value cannot be determined, there we say exists an asymptotes, which is a punctual line that represents a discontinuation of the graph, the trace cannot cross that asymptote, it divide the whole function graph.

So, in this case we have to undetermined results, when x = 0, x = 3, and x = 5, this means that in those values, there are asymptotes.

jainveenamrata jainveenamrata · Answer 2 · 2022-02-15T10:48:50+01:00

The function is not defined at 0, 3, and 5. The function has vertical asymptotes when x = 0, x = 3, and x = 5.

What is an asymptote?

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 0, 3, and 5.

Then the function will be

[tex]\rm y = \dfrac{c}{(x)(x - 3)(x - 5)}[/tex]

Where c is a constant.

Thus, the function has vertical asymptotes when x = 0, x = 3, and x = 5.

More about the asymptote link is given below.

https://brainly.com/question/8493280