11 **Vertical and Horizontal Asymptotes of Rational Functions**The graph of \( g(x) \) is transformed from its parent function, \( f(x) \). Apply concepts involved in determining the key features of a rational function to determine the vertical and horizontal asymptotes of the function.\[ g(x) = \frac{1}{x-6} \]Which of the following options represents the asymptotes of the function \( g(x) \)? Select all that apply.- [ ] \( x = -6 \)- [ ] \( y = -6 \)- [ ] \( y = 6 \)- [ ] \( x = 6 \)- [ ] \( x = 0 \)- [ ] \( y = 0 \)\[ \boxed{\text{Next Question}} \quad \boxed{\text{Ask for Help}} \quad \boxed{\text{Turn it in}} \To determine the vertical asymptote, observe the denominator of \( g(x) = \frac{1}{x-6} \). The vertical asymptote occurs where the denominator is zero: \( x - 6 = 0 \implies x = 6 \).For the horizontal asymptote, since \( g(x) \) has a constant numerator and the degree of the denominator is higher than that of the numerator, the horizontal asymptote is at \( y = 0 \).Therefore, the correct answers are \( x = 6 \) and \( y = 0 \).

Name: 11 **Vertical and Horizontal Asymptotes of Rational Functions**The gra
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 11 **Vertical and Horizontal Asymptotes of Rational Functions**The graph of \( g(x) \) is transformed from its parent function, \( f(x) \). Apply concepts involved in determining the key features of a rational function to determine the vertical and h