Common Core · High school

HSF-IF.B.5

High school — Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

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.

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