Consider the table representing a rational function.
-0.2 -0.
1 0 0.1 0.2
f(x) -0.238 -0.244 undefined -0.256 -0.263
37
-33
38
-5
39
-10
3.994
-100 undefined
4.0141
100
Which statement describes the graph of the function?
The function has holes when x = 0 and x = 4.
The function has vertical asymptotes wheth x = 0 and x = 4.
The function has a vertical asymptote when x = 0 and a hole when x = 4.
The function has a hole when x = 0 and a vertical asymptote when x = 4.

Respuesta :

The function has a hole when x = 0 and a vertical asymptote when x = 4.

How to determine the true statement?

The proper representation of the table of values is added as an attachment

From the table, we have:

  • f(0) = undefined
  • f(4) = undefined

One of these values (the lesser value of x i.e. x = 0) is a hole, while the other is a vertical asymptote

Using the above as a guide, the correct statement is the function has a hole when x = 0 and a vertical asymptote when x = 4.

Read more about functions at:

https://brainly.com/question/18554258

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