Please help me with this problem. Thank you! **Instructions:**Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists of equations. If an answer does not exist, enter DNE.)**Equation:**\[ f(x) = \frac{-6x}{x^2 + 3} \]**Graph Description:**- The graph shows the function \( f(x) = \frac{-6x}{x^2 + 3} \).- The curve exhibits behavior typical of rational functions, with a smooth symmetric shape.- The function appears to have a horizontal asymptote as \( x \) approaches positive and negative infinity.- The graph is mostly contained within \( y = 3 \) and \( y = -3 \), indicating relative boundedness in these regions.- There is a characteristic dip below the x-axis between \( x = -5 \) and \( x = 10 \).- The graph approaches zero but doesn’t intersect the x-axis completely as \( x \) becomes very large in the positive or negative direction.**Asymptotes:**- **Horizontal Asymptote:** - The horizontal asymptote occurs at \( y = 0 \) because the degree of the numerator is less than the degree of the denominator.- **Vertical Asymptote:** - There are no vertical asymptotes (DNE) since the denominator \( x^2 + 3 \) cannot be zero for any real values of \( x \).**Input Boxes:**- Horizontal Asymptote: [ ]- Vertical Asymptote: [ ]

Name: Please help me with this problem. Thank you! **Instructions:**Find the
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please help me with this problem. Thank you! **Instructions:**Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists of equations. If an answer does not exist, enter DNE.)**Equation:**\[ f(x) = \frac{-6x}{x^2 + 3} \