AP Precalculus Practice Test: Unit 1 Progress Check B (Sections 1.7 - 1.14)

My AP Precalculus Practice Tests are carefully designed to help students build confidence for in-class assessments, support their work on AP Classroom assignments, and thoroughly prepare them for the AP Precalculus exam in May.

*AP Precalculus Practice Test: Unit 1 Progress Check B (Sections 1.7 - 1.14) is a comprehensive review of essential Unit 1 topics in AP Precalculus. It is organized to guide students through various function types, transformations, and applications, providing examples for each concept and offering practical strategies for multiple-choice and free-response questions. Here’s an overview of the main topics covered:

### Key Topics and Examples

**Rational Functions and End Behavior** – Reviews the long-term behavior of rational functions, with examples showing how to determine horizontal and oblique asymptotes.

**Rational Functions and Zeros** – Shows how to find zeros of rational functions and interpret these values within the graph context.

**Rational Functions and Vertical Asymptotes** – Explains how vertical asymptotes arise from the function’s denominator and their influence on the graph.

**Rational Functions and Holes** – Teaches how to identify removable discontinuities (holes) in rational functions where factors cancel.

**Equivalent Expressions and Binomial Theorem** – Covers rewriting expressions using the binomial theorem and its use in polynomial expansion.

**Polynomial Long Division and Slant Asymptotes** – Demonstrates polynomial long division to identify slant asymptotes in rational functions with degrees in the numerator higher than in the denominator.

**Translations of Functions** – Explains vertical and horizontal shifts in function graphs and their algebraic representation.

**Dilations of Functions** – Shows how stretches and compressions affect the graph of a function and how to calculate these transformations.

**Function Model Selection and Assumption Articulation** – Guides students on selecting an appropriate model for a real-life scenario and articulating the assumptions behind the model.

**Function Model Construction and Application** – Discusses constructing function models for applied problems, interpreting coefficients, and predicting trends.

### Structure of the Practice Test
The video includes **multiple-choice questions** and **2 free-response questions**, testing students on these topics through problem-solving and interpretation. The questions encourage critical thinking about function behavior, transformations, and applications, making this video a solid preparation tool for the AP Precalculus Unit 1 exam.

I have many informative videos for Pre-Algebra, Algebra 1, Algebra 2, Geometry, Pre-Calculus, and Calculus. Please check it out:

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Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa

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