find all horizontal asymptotes of the following function.\n\n f(x)=\frac{2 x^{2}-14 x-16}{3 x+18} \n\nanswer…

find all horizontal asymptotes of the following function.\n\n f(x)=\frac{2 x^{2}-14 x-16}{3 x+18} \n\nanswer attempt 1 out of 2\n\n

find all horizontal asymptotes of the following function.\n\n f(x)=\frac{2 x^{2}-14 x-16}{3 x+18} \n\nanswer attempt 1 out of 2\n\n

Answer

Explanation:

Step1: Determine the degrees of numerator and denominator

The degree of the numerator (2x^{2}-14x - 16) is (n = 2) (the highest power of (x) is (x^{2})). The degree of the denominator (3x + 18) is (m=1) (the highest power of (x) is (x)).

Step2: Apply the rule for horizontal asymptotes

If (n>m) (where (n) is the degree of the numerator and (m) is the degree of the denominator), then there is no horizontal asymptote. Here (n = 2) and (m = 1), and (2>1).

Answer:

No Horizontal Asymptotes