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  1. Download free-response questions from past AP Precalculus exams, along with scoring guidelines, sample responses from exam takers, and scoring distributions.

    • AP® Precalculus

      Directions: Solve each of the following problems, using the...

  2. apcentral.collegeboard.org › media › pdfAP® Precalculus

    Directions: Solve each of the following problems, using the available space for scratch work. After examining the choices, decide which is the best of the choices given and fill in the corresponding circle on the answer sheet. No credit will be given for anything written in this exam booklet. Do not spend too much time on any one problem.

  3. This is a hybrid digital exam. Students complete multiple-choice questions and view free-response questions in the Bluebook testing app. They handwrite their free-response answers in paper exam booklets that are returned for scoring. Download a sample free-response booklet for AP Precalculus (.pdf).

  4. Over 20 free AP precalculus practice tests. Over 200 AP precalculus practice questions to help you with your AP precalculus exam prep.

  5. Study precalculus online free by downloading OpenStax's Precalculus 2e textbook and using our accompanying online resources including a precalculus study guide.

  6. Give three examples of finite sets, and give three examples of infinite sets. (2) What is a relation? (3) Construct three examples of relations using the finite sets you presented in question (1). (4) Construct three examples of relations using the infinite sets you presented in question (1).

  7. Free Response 12. The function 𝑓 is a rational function graphed in the xy-plane. The polynomial in the numerator of 𝑓 has exactly one real zero at 𝑥3. The polynomial of the denominator of 𝑓 has exactly two real zeros at both 𝑥3 and 𝑥6. The multiplicities of the zeros at 𝑥3 in the numerator and in the denominator are equal. a.

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