Question

Graph f(x)=−3/4x−4 .

Answer 1

First, find the asymptotes. 

When does f(x) become undefined? When the numerator is 0 

0=4x-4 
4=4x
x=1 

Therefore, x cannot be 1, this is a horizontal asymptote. 

We also know that when the degree of x in the numerator is smaller than the degree of x in the denominator, y=0. 

Now that we have the horizontal asymptotes, find a third point to draw the graph. 

If x=2, 

f(2)=-3/4(2)-4 
=-3/4 

Be sure to include this points in your graph. 

Hope I helped :)