The AP Calculus AB Scoring Guide for Unit 1 Progress Check provides detailed solutions and explanations for multiple-choice questions. It covers essential calculus concepts, including limits, continuity, and piecewise functions. This guide is designed for AP Calculus students preparing for the exam, offering insights into problem-solving strategies and scoring rubrics. It includes various questions that test understanding of calculus principles and their applications. Ideal for students seeking to enhance their comprehension and performance in AP Calculus AB.

Key Points

  • Includes multiple-choice questions on limits and continuity for AP Calculus AB.
  • Provides detailed solutions and explanations for each question.
  • Covers key calculus concepts relevant to the AP exam format.
  • Designed for students preparing for the AP Calculus AB exam with practice problems.
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15 pages
AP® Calculus AB
newtopiccyclegrowin
15 pages
AP® Calculus AB
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AP Calculus AB Scoring Guide
Unit 1 Progress Check: MCQ Part B
Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or
in print beyond your school’s participation in the program is prohibited.
Page 1 of 15
1.
If is the function defined by , then is equivalent to which of the
following?
A
B
C
D
2.
Let and be functions such that and . What is ?
A
B
C
D
The limit cannot be determined from the information given.
3.
If is the function defined above, then is
AP Calculus AB Scoring Guide
Unit 1 Progress Check: MCQ Part B
Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or
in print beyond your school’s participation in the program is prohibited.
Page 2 of 15
A
B
0
C
1
D
nonexistent
4. The function is defined for all in the interval . Which of the following
statements, if true, implies that ?
A
There exists a function with for , and .
B
There exists a function with for , and .
C
There exist functions and with for , and
.
D
There exist functions and with for , and
.
5.
The function is given by . The function is given by . If is a
function that satisfies for , what is ?
AP Calculus AB Scoring Guide
Unit 1 Progress Check: MCQ Part B
Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or
in print beyond your school’s participation in the program is prohibited.
Page 3 of 15
A
B
4
C
7
D
The limit cannot be determined from the information given.
6.
Let be a function of . The value of can be found using the squeeze theorem
with the functions and . Which of the following could be graphs of , , and ?
A
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End of Document
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FAQs

What topics are covered in the AP Calculus AB Unit 1 Progress Check?
The AP Calculus AB Unit 1 Progress Check covers fundamental topics such as limits, continuity, and the behavior of functions. It includes multiple-choice questions that challenge students to apply their understanding of these concepts in various scenarios. Additionally, the guide emphasizes problem-solving techniques and the application of calculus principles in real-world contexts. This comprehensive approach helps students prepare effectively for the AP exam.

How does the scoring guide help students prepare for the AP exam?
The scoring guide assists students by providing detailed explanations for each question, helping them understand the reasoning behind correct answers. It also outlines the scoring rubric, which is crucial for students to grasp how their responses will be evaluated on the AP exam. By reviewing the solutions, students can identify areas of strength and weakness, allowing them to focus their study efforts more effectively. This targeted preparation is essential for achieving a high score on the exam.

What types of questions are included in the AP Calculus AB Progress Check?
The Progress Check includes a variety of multiple-choice questions that assess students' understanding of calculus concepts such as limits, derivatives, and continuity. These questions are designed to mimic the format of the AP exam, providing students with a realistic practice experience. Each question challenges students to apply their knowledge and critical thinking skills, making it an effective tool for exam preparation.

Who is the intended audience for the AP Calculus AB Scoring Guide?
The intended audience for the AP Calculus AB Scoring Guide includes high school students enrolled in AP Calculus courses, as well as educators looking to enhance their teaching materials. It serves as a valuable resource for students preparing for the AP exam, providing them with practice questions and detailed solutions. Additionally, teachers can use the guide to assess student understanding and to develop lesson plans that align with the AP curriculum.