y=(x-4)/(x^2-3x) Graph the function.

We are asked to graph the function y=(x-4)/(x^2-3x) :
Factoring the numerator and denominator yields:
y=(x-4)/(x(x-3))
There are vertical asymptotes at x=0 and x=3. The x-intercept is 4.
Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y=0.
The first derivative is y'=(-(x-6)(x-2))/((x^2-3x)^2) ; y'=0 when x=2 or x=6. The function is decreasing on x<0 and 06.
The graph: