AP Precalculus 1.7 - 1.11 Review
Authored by Ben Logan
Mathematics
11th Grade
CCSS covered
Used 15+ times
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About
This quiz focuses on rational functions, covering advanced precalculus topics that align with AP Precalculus standards for grade 11 students. The content systematically addresses the complete analysis of rational functions, including identifying and classifying asymptotes (horizontal, vertical, and slant), locating zeros and holes, evaluating limits at critical points, and matching functions to their graphical representations. Students need a solid foundation in polynomial operations, factoring techniques, and limit notation to succeed with these problems. The quiz requires students to understand the relationship between the degrees of numerator and denominator polynomials to determine asymptote behavior, apply limit concepts to analyze function behavior near discontinuities, and interpret the algebraic structure of rational expressions to identify key features like removable discontinuities (holes) versus non-removable discontinuities (vertical asymptotes). Created by Ben Logan, a Mathematics teacher in the US who teaches grade 11. This comprehensive review quiz serves as an excellent formative assessment tool for students preparing for AP Precalculus examinations, specifically targeting learning objectives 1.7 through 1.11. Teachers can deploy this quiz as a summative review before unit tests, as homework to reinforce classroom instruction, or as a diagnostic tool to identify areas where students need additional support. The variety of question formats—from multiple choice identification to constructed response—allows for differentiated assessment that meets diverse learning needs. This quiz aligns with Common Core standards A-APR.6 (rewriting rational expressions) and F-IF.7 (graphing functions and analyzing key features), while supporting AP Precalculus Unit 1 objectives focused on polynomial and rational function analysis.
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26 questions
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1.
CATEGORIZE QUESTION
3 mins • 1 pt
Categorize each rational function as either having horizontal asymptote, a slant asymptote, or neither.
Groups:
(a) Horizontal Asymptote
,
(b) Slant Asymptote
,
(c) Neither
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE SELECT QUESTION
45 sec • 1 pt
Select all statements below that describe the rational function:
Vertical Asymptote is x = 0
Hole is at (0,-12)
Zero at 3
Zero at -4
Zero at 0
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE SELECT QUESTION
45 sec • 1 pt
Select all statements below that describe the rational function:
Vertical Asymptote is x = 2
Hole is at (-2,-1/2)
Zero at 0
Zero at -2
Vertical Asymptote at x = -2
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following functions has a horizontal asymptote at y = -5?
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rational function below matches the graph?
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rational function below matches the graph?
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rational function below matches the graph?
Tags
CCSS.HSF-IF.C.7D
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