Mathematics: Consider the table representing a rational function. which statement describes the graph of the function? the function has holes when x = 0 and x = 4. the function has vertical asymptotes when 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.

Consider the table representing a rational function.

Ответ:

ayoismeisalex

12.01.2022

Using the asymptote concept, the correct option is:

The function has vertical asymptotes when x = 0 and x = 4. A vertical asymptote is a point outside the function's domain, that is, a value of x for which the function is undefined.

In this problem:

According to the table, the function is undefined for x = 0 and x = 4.Thus, these values are vertical asymptotes, and the correct option is:

The function has vertical asymptotes when x = 0 and x = 4.

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Ответ:

pierceybbpow8o39

12.01.2022

Mathematics

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

Step-by-step explanation:

We have been given a table that represents values of a rational function. We are asked to choose the statement that describes the graph of the function.

We can see from our given table that at x=0 and x=4 function is undefined.

We can also see that that the value of function to the left of 0 is -0.244 and the value of function to the right of 0 is -0.256 . This means that function has a point discontinuity that is at x=0 is zero for both numerator and denominator. Therefore, the function has hole at x=0 .

Upon looking at table we can see the value of function to the left of 4 is and the value of function to the right of 4 is 100 . This means that function is approaching to different directions around x=4 . Therefore, the function has a vertical asymptote at x=4 .