2.3 Precalculus Answers

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Monitor your time carefully. As you begin Part A and Part B of the free-response section, you may wish to look over both questions for that part before starting to work on them. You are encouraged to use the allotted time to respond to all parts of all questions. All work must be written in the separate Section II: Free Response booklet.

Your calculator must be in radian mode. Avoid rounding intermediate computations on the way to the final result. Unless otherwise specified, any decimal approximations reported in your work should be accurate to three places after the decimal point.

It may be helpful to use your graphing calculator to store information such as computed values for constants, functions you are working with, solutions to equations, and any intermediate values. Computations with the graphing calculator that use the stored information help to maintain as much precision as possible and ensure the desired accuracy in final answers.

Each free-response question is divided into parts (a), (b), and (c), with each part calling for a different response. Credit for each part is awarded independently, so you should attempt to solve each part. For example, you may receive no credit for your answer to part (a), but still receive full credit for part (b) or part (c). If the answer to a later part of a question depends on the answer to an earlier part, you may still be able to receive full credit for the later part, even if that earlier answer is incorrect.

Read each question carefully to understand what is being asked. For example, if a question asks for the maximum value of a function, do not stop after finding the x-value at which the maximum value occurs.

Your explanation can use things such as information from the question or function representation, a mathematical definition, or a function property. The exam reader wants to know why something is true and see your mathematical reasoning in your response.

Familiarize yourself with the example free-response questions in the AP Precalculus Course and Exam Description. These sample questions illustrate the four types of free-response questions and their formats. For example, question 3 (Modeling a Periodic Context) always includes a graph where you are asked to label coordinates of points and includes developing a sinusoidal function model. Question 4 (Symbolic Manipulations) always includes the same standard directions paragraph.

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