Question$f(x) = \frac{x-8}{x^2 + 9x + 14}$
Find the vertical asymptotes (V.A), hole, x-intercepts (X-bit), and the horizontal asymptote (H.A) of the function $f(x)$.

Studdy Solution
Determine the horizontal asymptote by comparing the degrees of the numerator and the denominator:
The degree of the numerator is 1 (since $x - 8$ is linear), and the degree of the denominator is 2 (since $x^2 + 9x + 14$ is quadratic).
Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is:
$$y = 0$$
Summary of findings: - Vertical Asymptotes (V.A): $x = -2, x = -7$ - Hole: None - X-intercepts (X-int): $x = 8$ - Horizontal Asymptote (H.A): $y = 0$