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.

Using the asymptote concept, the correct option is:

In this problem:

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

A similar problem is given at link

The function has a hole when and a vertical asymptote when   .

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 and function is undefined.

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

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 . This means that function is approaching to different directions around . Therefore, the function has a vertical asymptote at .

Therefore, option D is the correct choice.

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

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