Plot all of the existing five features of the following rational function (some may not be needed). If you get a fraction or decimal then plot as close to the true location as possible.
\[
f(x)=\frac{-3 x-9}{x^{2}-2 x-15}
\]

Plot Rational Function

Click on a feature then drag it into place.

Step 1 ：Set the denominator equal to zero and solve for \(x\): \(x^2 - 2x - 15 = 0\)

Step 2 ：Factor the equation: \((x - 5)(x + 3) = 0\)

Step 3 ：Solve for \(x\) to find the vertical asymptotes: \(x = 5, -3\)

Step 4 ：Since the degree of the denominator is greater than the degree of the numerator, the horizontal asymptote is \(y = 0\)

Step 5 ：Set the numerator equal to zero and solve for \(x\) to find the x-intercepts: \(-3x - 9 = 0\), \(-3x = 9\), \(x = -3\)

Step 6 ：Set \(x = 0\) in the function to find the y-intercept: \(f(0) = -3(0) - 9 / (0)^2 - 2(0) - 15 = -9 / -15 = 3/5\)

Step 7 ：There are no x-values where both the numerator and the denominator of the rational function equal zero, so there are no holes in the graph

Step 8 ：The graph of the function has vertical asymptotes at \(x = 5\) and \(x = -3\), a horizontal asymptote at \(y = 0\), an x-intercept at \(x = -3\), a y-intercept at \(y = 3/5\), and no holes. \(\boxed{\text{Final Answer}}\)