Common Core · High school
HSF-IF.C.7.D
High school — Graph rational functions, identifying zeros and asymptotes when suitable factorisations are available, and showing end behaviour.
A note on this mapping: HSF-IF.C.7.D is a (+) standard — beyond the college- and career-ready threshold, i.e. precalculus rather than Algebra II.
The skill that covers it
What a student should be able to do
- State the domain of a rational function and tell a vertical asymptote from a hole.
- Find the horizontal asymptote from the degrees of the numerator and denominator.
- Find the intercepts and the coordinates of a hole.
- Match a rational function to its graph, and describe its behaviour near an asymptote.