Answer
See graph.
Work Step by Step
Step 1. Given $f(x)=\frac{4x-2}{3x+1}$, we can identify its V.A. $x=-1/3$, H.A. $y=4/3$, x-intercepts: 1/2, y-intercepts: -2.
Step 2. Use the above information and test points to graph the function as shown in the figure.