Graphing Rational Functions

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Find the x- and y-intercepts, the vertical asymptotes, and the end behavior. Then use this information, along with a sign chart and a couple of additional points to sketch a graph of g of x = the fraction with numerator 4 and denominator x squared minus 7x + 10
Find the x- and y-intercepts, the vertical asymptotes, and the end behavior. Then use this information, along with a sign chart and a couple of additional points to sketch a graph of h of x = the fraction with numerator x cubed minus 2x squared + 16 and denominator x minus 2