The AP Precalculus Exam includes four free response questions (FRQs). Each of these questions is worth six points. The first two allow the use of a graphing calculator and the second two do not. Students have about 15 minutes to complete each FRQ. What is most important to know is that the FRQs are based on task models, meaning that each question will have a predictable structure from year to year, and feature mostly the same skills and function types. This is very different than the FRQs found on the AP Calculus Exam or the AP Statistics Exam.
In this video, we share the structure of FRQ 1, including what students can expect in each part and subpart. We also identify the specific content that students should be familiar with for this question.
Download the handout for students to complete while watching the video.
This video is part of the official Calc Medic AP Precalculus Review Course. To receive access to more videos, practice problems, and full length practice exams, get a quote.
Important Take-aways:
FRQ 1 will always be about "Function Concepts".
FRQ 1 allows the use of a graphing calculator and students should be comfortable evaluating and solving functions using technology.
FRQ 1 features two different functions (polynomial, rational, logarithmic, or exponential), in two different representations.
FRQ 1 does NOT include a contextual scenario.
Only content from CED Unit 1 and CED Unit 2 is included in this FRQ.
Many different function features could be assessed in this FRQ: zeros/intercepts, compositions, evaluating functions, solving functions, inverse functions, end behavior, and describing the rate of change of functions.
Time to Practice
Now that your students are comfortable with what FRQ 1 is all about, it's time to put this knowledge to the test! We've created a sample question in the style of FRQ 1 you can use to help your students practice their new skills.
Practice FRQ
Solutions
Note: this practice FRQ was created by Calc Medic and is not an officially released question from the College Board.