AP Calculus AB Unit 1 Progress Check MCQ Part B provides a comprehensive assessment of key calculus concepts for students preparing for the AP exam. This document includes multiple-choice questions that cover limits, continuity, and functions, essential for mastering calculus principles. Designed for AP Calculus students, it serves as a valuable tool for practice and review. The questions are aligned with the AP curriculum, ensuring relevance and rigor for exam preparation.

Key Points

  • Includes multiple-choice questions focused on limits and continuity.
  • Covers essential calculus concepts for AP exam preparation.
  • Designed for AP Calculus AB students to enhance understanding.
  • Aligns with the AP curriculum for effective study and review.
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15 pages
Language:English
Type:Study Guide
AP® Chemistry
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15 pages
Language:English
Type:Study Guide
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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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Figures

AP Calculus AB Unit 1 Progress Check MCQ Part B - Key Concepts Assessment — Unit 1 Progress Check: MCQ Part B
AP Calculus AB Unit 1 Progress Check MCQ Part B - Key Concepts Assessment — Unit 1 Progress Check: MCQ Part B
AP Calculus AB Unit 1 Progress Check MCQ Part B - Key Concepts Assessment — Unit 1 Progress Check: MCQ Part B
AP Calculus AB Unit 1 Progress Check MCQ Part B - Key Concepts Assessment — Unit 1 Progress Check: MCQ Part B
Let be the piecewise function defined above. Also shown is a portion of the graph of .
graph of . The graph consists of a line segment for
The graph of a function is shown in the figure above. At what value of does have a

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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 essential topics such as limits, continuity, and the behavior of functions. Students will encounter questions that require them to analyze function behavior and apply theorems related to limits. This assessment is designed to reinforce understanding of calculus concepts that are foundational for the AP exam. Additionally, it helps students identify areas where they may need further study.
How can the AP Calculus AB Unit 1 Progress Check help students prepare for the exam?
The Unit 1 Progress Check is an effective tool for AP Calculus students as it provides practice questions that mirror the style and difficulty of the actual AP exam. By working through these multiple-choice questions, students can familiarize themselves with the types of problems they will encounter. This practice not only builds confidence but also enhances problem-solving skills essential for success in calculus. Furthermore, the feedback from this assessment can guide students in their study efforts.
What is the format of the questions in the AP Calculus AB Unit 1 Progress Check?
The questions in the AP Calculus AB Unit 1 Progress Check are formatted as multiple-choice, requiring students to select the correct answer from a set of options. This format is designed to assess students' understanding of calculus concepts quickly and efficiently. Each question targets specific learning objectives outlined in the AP curriculum, ensuring that students are tested on relevant material. The multiple-choice format also helps students practice their time management skills, which is crucial for the AP exam.
Who is the intended audience for the AP Calculus AB Unit 1 Progress Check?
The intended audience for the AP Calculus AB Unit 1 Progress Check includes high school students enrolled in AP Calculus AB courses. It is specifically designed for those preparing for the AP exam, providing them with a structured way to assess their understanding of key calculus concepts. Teachers may also use this resource to gauge student progress and identify areas needing additional instruction. Overall, it serves as a valuable resource for both students and educators in the AP Calculus curriculum.

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