Percent Increase and Decrease Quiz - Page 2
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AP Calculus Test Questions: Analysis of Graphs
Part of a larger series of test questions directly aligned with AP's calculus guidelines.
This comprehensive set of questions covers:
- odd/even
- increasing/decreasing
- rational, polynomial, logarithmic, exponential, and trigonometric functions
- domain/range
- end behavior
9th - 12th, Higher Education
Calculus, Graphing
Properties of Functions Practice
This worksheet uses piecewise graphs to practice all of the major features and properties of functions, and includes an answer key. Topics covered are: interval notation, domain, range, increasing, decreasing, constant, extrema, continuity, and types of discontinuities.
9th - 12th
Calculus, PreCalculus
AP Calculus Christmas Graphing Activity - Connecting f f' f'' - Coloring Sheet
Welcome in the holiday season with this fun review activity based on several standards from AP Calculus listed below! 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points5.3 Determining Intervals on Which a Function is Increasing or Decreasing5.4 Using the First Derivative Test to Determine Relative Local Extrema5.6 Determining Concavity of Functions over Their Domains5.8 Sketching Graphs of Functions and Their Derivatives5.9 Connecting a Function, Its First Derivative, an
9th - 12th
Calculus, PreCalculus
Calculus Derivative Tests, Related Rates, IVT, MVT, EVT for Graphic Organizer
This AP® Calculus derivative graphic organizer is a great way for students to easily access the information needed to solve related rate problems, know when to use the first and second derivative tests and understand the differences between intermediate value theorem, extreme value theorem and mean value theorem. All three include a partially filled out sample. Leaves room for sample problems and specific classroom formulas, notes, etc. Surface area and volume formulas folding graphic orga
9th - 12th
Calculus, Math, PreCalculus
Applications of Derivatives Unit
Bundle of resources for an AP Calculus level Unit on Applications of Derivatives. Includes the following (note that all resources can be edited, equations may require MathType): 13 full lessons:Extreme Values of FunctionsIncreasing and Decreasing IntervalsLocal ExtremaConcavityPoints of InflectionGraphical AnalysisMean Value TheoremLinearizationDerivatives of InversesL'Hospital's RuleMotionRelated Rates (Basic)Related Rates (Advanced)Each lesson includes:PowerPoint presentation for the lesson it
9th - 12th
Calculus, Math Test Prep, PreCalculus
Change in Tandem AP® Precalculus 1.1 Activity Cut and Paste
Do you find that your AP ® Precalculus need more help on the change in tandem topic? Students will work on identifying the relationship between the input and output for given functions graphically and describe the rate of change as increasing, decreasing, positive and negative for AP ® Precalculus topic 1.1. This activity can be completed as just a worksheet or as a cut and paste activity. Students can cut out the solutions and paste them into the specific box for easy differentation as well.
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
AP Calculus: Graphing the Derivative Complete Lesson
This lesson helps students learn how to graph the derivative of a function, given a graph of the function. Students also learn how to interpret the graph of the derivative and they make the connection between the derivative of the position function and the velocity function. Increasing and decreasing functions are also introduced. Finally, students learn how to estimate derivatives from a table of values and then use those values to create a graph of the derivative. This lesson is appropriate
9th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus: Derivatives Unit Bundle
Applications of Derivatives: Maximum Velocity of a Cough
This is created to be an in class assignment graded assignment, which will take approximately 25 minutes depending on the skill levels of the students. The answer key/scoring guidelines are attached at the end of the worksheet. The worksheet should be used after Increasing and Decreasing Functions and the First Derivative Test are taught.
9th - 12th, Higher Education
Calculus, Math, PreCalculus
AP Calculus - f' Analysis Cheat Sheet
Help your students organize their thoughts of f' Analysis using thiHelp your students stay organized and master the fundamentals of calculus with this comprehensive, one-page f' Analysis Cheat Sheet. Perfect for AP Calculus students, this resource provides clear and concise explanations of critical points, increasing and decreasing functions, concavity, inflection points, and relative maximums and minimums using both the first and second derivative tests and how to justify them effectively! Key
9th - 12th, Higher Education
Calculus
Sketching Graphs from Features Activity
Designed for early precalculus students, but easily adaptable for algebra or calculus students. Have students create graphs that satisfy given conditions. Teachers give one condition at a time, and students work together to adjust their graph to satisfy all conditions simultaneously. Conditions include features such as increasing and decreasing intervals, concavity, points and inverses, even functions, asymptotes.
9th - 12th
Algebra 2, Calculus, PreCalculus
Curve Analysis & Derivatives – A Complete Guide to Function Behavior | WORKBOOKS
Build deep understanding of functions using derivatives, limits, and curve analysisThis bundle is designed for high school math teachers who want students to move beyond procedural differentiation and toward true conceptual mastery of function behavior. Students learn how derivatives, limits, and asymptotes work together to describe increasing and decreasing behavior, local extrema, concavity, inflection points, and global structure of functions. Instead of isolated skills, the materials prese
9th - 12th
Calculus, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+33
Functions Big Review
Here is a comprehensive Review of Functions for Polynomial, Rational, and Piecewise defined functions. There are no trig, exponential, or log functions included. Please zoom in on the preview to make sure this resource is appropriate for your classes. Topics include: Odd and Even functions Transformations Domain and range Composition of functions Increasing and Decreasing Maximum and Minimum Inverse Functions Asymptotes Included in this resource: 4 versions of an assessment/ worksheet/stu
9th - 12th
Calculus, PreCalculus
CCSS
HSA-APR.A.1
, HSF-IF.A.1
, HSF-IF.A.2
+14
Also included in: Calculus Essential Back to School Review Bundle
Complete Curve Analysis – Mastering Function Behavior in High School Mathematics
Curve sketching is more than drawing graphs—it is about understanding how functions behave. Complete Curve Analysis helps students move beyond memorized checklists toward genuine mathematical insight. This classroom-ready resource presents curve analysis as a coherent analytical process. Students explore how the function term, its derivatives, and its limits interact to shape the overall graph. By focusing on reasoning and interpretation, the material enables learners to explain why a funct
9th - 12th
Calculus, PreCalculus
Rates of Change Roller Coaster Activity Practice AP® Precalculus 1.2 and 1.3
Do you find that your AP ® Precalculus need more help connecting rate of change to real scenarios? Students will work on describing how two quantities very together and find the average rate of change for AP ® Precalculus topic 1.2-1.3. ⭐Skills Required: Rates of ChangeIncreasing and decreasingRate of change increasing and decreasingConcave up and concave down❤️Resource is Great for: AP® PrecalculusAP® CalculusAlgebra 2Remote LearningHomeschoolingTutoring⭐Includes: 2-page activity (2 versions
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
Advanced Curve Sketching Practice — Calculus AB/Calculus 1
Transform curve sketching from a memorized checklist into a meaningful reasoning process. This Calculus AB practice packet gives students 10 full curve-sketching problems that build conceptual understanding through progressively challenging function types — polynomial, rational, trigonometric, logarithmic, exponential, and piecewise. Each question leads students through: Domain and range reasoning Continuity and differentiability Critical points and increasing/decreasing intervals Concavi
9th - 12th, Higher Education
Calculus, Graphing
Also included in: Advanced Curve Sketching Practice & Key— Calculus AB/Calculus 1
AP Calculus Editable Warm-Up Templates
⭐⭐This SET OF EDITABLE TEMPLATES is designed to enhance your warm-up exercises through the school year. There are editable text boxes for you to insert functions and equations for your students to get a start to your instructional days.⭐⭐ ✅ KEY CONCEPTS/TOPICS:Limits and ContinuityDerivatives RulesIntervals of Increase and DecreaseConcavityAntiderivativesDefinite IntegralsPosition, Velocity, AccelerationVolumes of SolidsI value your feedback. Please rate this product. If you have any issues or
9th - 12th, Higher Education
Calculus
Continuity and End Behavior AP Calculus Graphic Organizer
Perfect for an AP® Calculus class working on limits and discussing how functions behave in certain ways including the test for continuity and end behavior. Comes with scaffolded notes with sample copy as well as answer key and an EDITABLE version. Students will learn the different rules for discontinuity, end behavior and increasing/decreasing through this sheet of notes. This is also great for Honors Precalculus towards the end of the year. Includes an EDITABLE PowerPoint file to make th
9th - 12th
Calculus, Graphing, PreCalculus
Maze - Analyzing Polynomial Functions from GRAPHS *Odd Degree*
This maze is part of : Maze - BUNDLE Polynomial FunctionsThis maze is a good review of Analyzing Polynomial Functions from GRAPHS. The degree of the function being analyzed here is Odd. The graph of a polynomial function is given with some key points on the graph (pls see the preview) This activity ask students to use the graph and determine the:☑ Domain ☑ Range ☑ Sign of Leading Coefficient ☑ End behavior (using the arrow notation) ☑ Number of Turning Points ☑ Whether the degree is Even or
9th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7c
Also included in: Maze - BUNDLE ALL ABOUT Polynomial Functions
Maze - Analyzing Polynomial Functions from GRAPHS *Even Degree*
This maze is part of : Maze - BUNDLE Polynomial FunctionsThis maze is a good review of Analyzing Polynomial Functions from GRAPHS. The degree of the function being analyzed here is Even. The graph of a polynomial function is given with some key points on the graph (pls see the preview) This activity ask students to use the graph and determine the:☑ Domain ☑ Range ☑ Sign of Leading Coefficient ☑ End behavior (using the arrow notation) ☑ Number of Turning Points ☑ Whether the degree is Even or
9th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7c
Also included in: Maze - BUNDLE ALL ABOUT Polynomial Functions
Polynomial Functions and Rate of Change AP® Precalculus 1.4 Worksheet
Do you find that your AP ® Precalculus students need more help connecting average rate of change to graphs and applying key characteristics to polynomial functions? Students will work on describing how two quantities very together and find the average rate of change for AP ® Precalculus topic 1.4. ⭐Skills Required: Rates of ChangeIncreasing and decreasingRate of change increasing and decreasingMaximum and MinimumGlobal, absolute, local, relative❤️Resource is Great for: AP® PrecalculusAP® Ca
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates
Take your students beyond basic derivatives with this powerful Applications of Derivatives Cheat Sheet for AP Calculus! This 2-sided, one-page resource clearly organizes the most important concepts from Units 4 & 5, helping students apply derivatives in real-world and exam-style situations. 📘 What’s Included:• Mean Value Theorem (MVT) • Extreme Value Theorem (EVT) • Critical points and the Candidate’s Test • Increasing & decreasing intervals • First and Second Derivative Tests • Concavity and
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
Maze - Analyzing Polynomial Functions
This maze is part of : Maze - BUNDLE Polynomial FunctionsThis maze is a good review of Analyzing Polynomial Functions. Before playing this maze, students are expected to be familiar with: - The domain of a polynomial function - How to find the y-intercept - How to find the zeros (using Graphing Calculator) - How to determine the end-behavior from the notation of the function - How to find increasing/decreasing intervalsThere are 15 questions where a different polynomial is give
9th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7c
Also included in: Maze - BUNDLE ALL ABOUT Polynomial Functions
First and Second Derivative Graphical Properties of a Function Digital Activity
First and Second Derivative Graphical Properties of a Function Digital Activity - Mystery Puzzle. Calculus students will match the description of a graphical property of f(x). Each incorrect answer will light of red while correct responses are green and reveal one piece of the mystery image. This is a self checking activity!!! Concepts of f'(x) and f''(x) include f(x) Increasing and Decreasing First and Second Derivative TestPoints of Inflection of f(x)Relative Max and Relative Min on f(x)Conc
9th - 12th
Calculus, Math
AP Calculus Applications of Derivatives Multiple Choice Practice – AB/BC
AP Calculus Applications of Derivatives Multiple Choice Practice – 25+ AP-style questions covering related rates, optimization, straight-line motion, curve analysis, and the Mean Value Theorem. Aligned to AP College Board CED Units 4-5. Helps students master real-world applications of differentiation and build exam readiness without unnecessary trick questions.What's Included:Original AP-style multiple choice questions covering:Straight-line motion (position, velocity, acceleration)Interpreting
9th - 12th, Higher Education
Calculus, Math Test Prep, Other (Math)
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