Percent Increase and Decrease Quiz - Page 3
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Functions Chapter Test Review
This is the review I give to my students to prepare for their chapter test in pre-calculus Topics covered are: 1.) Domain and Range, increasing decreasing, constant intervals, bounded functions, extrema, discontinuities, and end behavior 2.) Implied domain of functions 3.) Transformations of functions 4.) Piecewise Functions 5.) Operations of functions 6.) Inverse of functions
10th - 12th, Higher Education
Math, Other (Math), PreCalculus
Analyzing Functions
Here are four examples (with a key) for analyzing functions based on: 1. x and y intercepts 2. relative maximums and minimums 3. positive and negative 4. increasing and decreasing 5. domain and range 6. end behavior
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.4
, HSF-IF.C.7a
Introductory Unit for Pre-Calculus Review Worksheet
This 4 page worksheet covers all of the material in a standard intro unit for Pre-Calc: linear equations, graphing linear equations, function identification, domain and range, extrema of functions (max, min, increasing, decreasing, constant), piece-wise functions, transformations of functions, operations on functions, combinations of functions and inverse of functions.
9th - 12th
Algebra 2, PreCalculus
CCSS
HSA-CED.A.2
, HSF-IF.A.1
, HSF-IF.C.7a
+4
Also included in: Pre-Calculus Unit 1: Functions
Real World Critical Points of Relations: Domain Range,Increase Decrease
4 Real World situations with pictures, that students use to determine the critical values and intervals of relationships. Topics include: Domain and Range Intervals a Relation Increases and/ or Decreases Intervals where a relation is positive or negative Evaluating Functions
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.B.5
Exploration Topic 3.15 for AP Precalculus - Rates of Change of Polar Functions
Help your AP Precalculus students explore rates of change in polar functions in a hands-on, visual way! This introductory activity focuses on Topic 3.15: Increasing and Decreasing on Polar Functions, guiding students through table completion, graphing, and color-coded analysis to deepen understanding of function behavior. Students will: ✔ Complete a table of values for a polar function. ✔ Graph the function on the coordinate plane ✔ Plot the function on a polar grid ✔ Highlight intervals wit
10th - 12th
Algebra 2, PreCalculus
Calculus Weekly Bell Ringers Math Review Problems 3 with Editable
Do you need a great way to start your Calculus course with bell ringers? Comes with 30 review problems on topics such as factoring, finding limits, discussing increasing and decreasing, finding basic slopes, etc. I use this with my Calculus students about a month into school as openers. Great way to get students checking solutions with a peer and creating an appropriate learning environment from day 1. They are designed to be pretty quick and be conversation starters for Derivative problems.
10th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
CCSS
HSA-SSE.A.2
, HSA-SSE.B.3a
Also included in: AP® Calculus Bundle of Graphic Organizers, Projects, Activities and more
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
Piecewise and Absolute Value Functions Lesson 6 of 7
I designed these lessons to teach my students about piecewise and absolute value functions (the 6th in a series of 7). This lesson focuses on describing a piecewise graph using increasing, decreasing, constant, continuous, and discontinuous. This lesson also reviews how to solve for a variable given a formula.
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+3
Calculus Summer Assignment
Self-executing lessons are ideal for sub-plans, as supplemental material for "flipped" classrooms, or for any teacher wanting to leverage their limited instructional time. The learning of basic notation and rules is accomplished via pattern recognition. This self-executing lesson will get precalculus students started learning calculus over the summer so that next year begins smoothly. It would be particularly useful for calculus teachers needing to accelerate the pacing of their curriculum. DA
10th - 12th
Calculus, PreCalculus
Derivative Product and Quotient Rules WORKSHEET | Digital and Print
Calculus students will strengthen their skills with this ready-to-go worksheet, where they find derivatives using the product rule and quotient rule. This comprehensive worksheet includes a variety of exercises that progressively increase in difficulty, allowing students to practice applying the product and quotient rules to various functions. The worksheet comes with an answer key for the convenience of the teacher, and for a digital and self-checking experience, a Google Forms version is a
11th - 12th, Higher Education
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
Logarithmic Transformations Bundle
This product includes scaffolded notes and work for: basic properties of logs,common log,natural log,transformations (vertical & horizontal translation, vertical & horizontal stretching & compression, and reflections),graphing,domain & range,y-intercept, andand increasing & decreasing.The previews contain all student pages and select teacher pages for your perusal. A full, detailed teacher key is provided with purchase. I hope you are able to use this product for the betterment of your students
10th - 12th
Algebra 2, Math, PreCalculus
Calculus CURVE ANALYSIS Where is f increasing AND concave up? Dec/Conc up? Etc.
Calculus CURVE ANALYSIS (Inc/Dec AND Concavity) First & Second Derivative Tests Worksheet consists of 10 different functions. For each of the 10 functions students are asked to find open intervals for which the function is "increasing AND concave down" or "decreasing AND concave up" etc. The functions range from polynomials to functions containing e and ln. Space is provided with each problem for students to write organized justifications for their solutions. I created this practice becaus
10th - 12th, Higher Education
Calculus, Math, PreCalculus
Attributes of Functions Homework
This file consists of 5 graphs of functions for which students are asked to give domain and range in interval notation, as inequalities and in set notation. They also are asked for intervals of x where the function is increasing, decreasing, positive, negative and constant. For some graphs, students are asked to give intervals of x for which the function is, for example, BOTH positive and decreasing. On the final graphing grid, students are asked to sketch a graph with given attributes. The l
10th - 12th
Algebra 2, PreCalculus
Pre Calculus Analyzing Functions with Graphs and Tables FREEBIE
In this sample of my Analyzing Functions with Graphs and Tables, students will work with a single graph and answer questions about function values, where a function has a maximum or minimum, what the maximum or minimum value is, and where a function is increasing or decreasing.
(Although an answer key is included, the teacher will have to determine how the students should answer the questions involving interval notation as different textbooks define this in different manners.)
If you like th
10th - 12th
Algebra 2, Math, PreCalculus
Exponential Functions AP Precalculus 2.3 Self-Checking Activity
Students practice the 2.3 Exponential Functions lesson from AP® Precalculus with this fun, NO PREP, self-checking digital Path Activity! Printable worksheet included for flexibility in your classroom! ACTIVITY SKILLS:2.4A Identify key characteristics of exponential functions - increasing/decreasing behavior, concavity, end behavior, etc.WHAT'S INCLUDED:Digital Self-Checking Activity using Google Sheets™ (12 Questions)Printable WorksheetAnswer Keys IncludedAP® is a registered trademark of the C
10th - 12th
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
Even/Odd Symmetry & Key Features Practice Pack
Build durable fluency with graph shape language in one focused bundle for Grades 11–12 (Honors Algebra 2 / Precalculus). Students master the core trio that drives function analysis and test success: even/odd classification, axis/origin symmetry, and key features from graphs and tables— intervals of increase/decrease and local vs. absolute extrema. Each section opens with tight Key Ideas, then moves into scaffolded exercises that require algebraic proofs with (f(-x)), symmetry substitution c
11th - 12th
Algebra 2, PreCalculus
Also included in: Precalculus Daily Routine Bundle | Warm-Ups, Exit Tickets & Key Features
Transformations of Exponential Functions Classwork and/or Homework
Ten exponential transformations to be used as individual or group classwork and/or homework. Students need to: Identify the transformations and the affect on the graph in comparison to the parent,Identify the domain, range, and y-intercept,Determine whether the function is increasing or decreasing,Fill in a transformation chart, andGraph. The preview contains all student pages and one teacher page for your perusal. I hope you are able to use this product for the betterment of your students and i
9th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.C.7e
Also included in: Exponential & Logarithmic Functions Bundle
Piecewise and Absolute Value Functions Lesson 7 of 7
I designed these lessons to teach my students about piecewise and absolute value functions (the 7th in a series of 7). This lesson focuses on reviewing drawing basic geometric ideas (lines, rays, bisectors, etc), describe a graph using domain, range, maximum, minimum, intervals of increasing and intervals of decreasing, using a word description to draw a function and then writing the equation of that function, given a function and writing the inverse, and graphing an absolute value function and
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+3
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
Key Features of Polynomial Graphs Interactive Notes and Student Practice Pages
After you have introduced some basic concepts about polynomial functions and their graph to students, begin introducing them to analyzing the key features of the graph: zeros, turning points, local extrema, intervals where the function is positive & negative, and intervals where the function is increasing & decreasing. These scaffolded notes and practice pages work great for students to understand this complex topic. The only thing students need besides the note or practice page you give th
9th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.2
, HSF-IF.B.4
, HSF-IF.C.7
+1
Also included in: Polynomial Functions Resource Bundle (PrBL PBL Unit)
Power Rule Worksheet
This Power Rule worksheet provides straightforward, independent practice for students learning how to differentiate functions using the Power Rule. Unlike a guided worksheet, this resource is designed for students who are ready to apply the rule on their own without structured steps or prompts. The problems increase in complexity to help build fluency and confidence while reinforcing foundational derivative skills. Perfect for classwork, homework, bell-ringers, or quick review before quizzes and
11th - 12th, Higher Education
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
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