Sketching a graph is taught by identifying key points and from there filling in. The rational function plotted here has two vertical asymptotes a slant asymptote. Adjust the following controls to see this and more.

We plot over [a,b] × [-M, M]:

$a =$ -5 $b =$ 5

$M =$ 20

show zero line

show y-axis

show slant asymptote

show vertical asymptotes

show x-intercept(s)

show y-intercept

show critical points

show inflection points

show trace of graph: