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

find all horizontal asymptotes of the following function.\n\n$f(x)=\\frac{2x + 2}{x^{2}-x - 2}$\n\nanswer attempt 1 out of 2\n\none horizontal asymptote\n\nno horizontal asymptotes\n\none horizontal asymptote\n\ntwo horizontal asymptotes

find all horizontal asymptotes of the following function.\n\n$f(x)=\\frac{2x + 2}{x^{2}-x - 2}$\n\nanswer attempt 1 out of 2\n\none horizontal asymptote\n\nno horizontal asymptotes\n\none horizontal asymptote\n\ntwo horizontal asymptotes

Answer

Explanation:

Step1: Find the degrees of numerator and denominator

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

Step2: Apply the rule for horizontal asymptotes

When (n<m) (where (n) is the degree of the numerator and (m) is the degree of the denominator), the horizontal asymptote is (y = 0).

Answer:

One Horizontal Asymptote (the horizontal asymptote is (y = 0))