46.7k views
4 votes
The rational function h. is given by h (x) 2т°+573-20°-13 3x2-22+7 -. Which of the following describes the end behavior of h?

User Thequark
by
6.9k points

1 Answer

5 votes

Final answer:

The end behavior of the rational function is that it approaches 0 as x approaches positive and negative infinity.

Step-by-step explanation:

The end behavior of a rational function is determined by the degrees of the numerator and denominator polynomials. In this case, the numerator polynomial has a degree of 2 (highest power of x is 2) and the denominator polynomial has a degree of 3 (highest power of x is 3).

Since the degree of the numerator is less than the degree of the denominator, the end behavior of the rational function is as follows:

As x approaches positive infinity, the function approaches 0.

As x approaches negative infinity, the function approaches 0 as well.

User Utopalex
by
7.8k points