-graph a rational function
-identify the zeroes and vertical asymptotes of a rational function
-identify the end behavior of a rational function
-multiply and divide rational expressions
-add and subtract rational expressions
-simplify complex fractions
-explain that rational expressions are closed under addition, subtraction, multiplication, and division by a nonzero rational expression
-solve a rational equation in one variable
-explain how an extraneous solution may arise in a rational equation