Determine the equation of the horizontal asymptote for each function.

a$)f(x)=\frac{x}{x+5}$

b$)g(x)=\frac{5x}{6-x}$

c$)h(x)=-\frac{x+3}{x-3}$

d$)k(x)=-\frac{3x-2}{6-4x}$

Question $3$:

Sketch the graph of each function, and then summarize the increasing and decreasing intervals.

a$)f(x)=\frac{3x}{x-7}$

b$)g(x)=-\frac{x}{5x-1}$

c$)h(x)=\frac{2x-1}{x+2}$

d$)k(x)=\frac{2-3x}{x-5}$