Percent Increase and Decrease Quiz - Page 2
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Alg 2 - Unit 2 - Functions (part 2)
This packet continues to explore and deepen the understanding of functions and their characteristics (domain and range, decreasing, increasing and constant, max and min); operations with functions; piece-wise functions with graphing; difference quotient; and applications of functions (word problems). An interesting and challenging packet, it includes a detailed solution key and it is appropriate for Algebra 2 and Pre-Calculus. It could also be used for group work, for practice or for assessment.
9th - 12th
Algebra 2, Graphing, PreCalculus
Also included in: Alg 2 - Unit 2 Bundle: FUNCTIONS
Key Characteristics of Functions Summary
This MS PPT includes a review of the following 8 basic characteristics for functions. 1. Domain & Range 2. Increasing, Decreasing and Constant Intervals 3. End Behavior 4. Positive and Negative Intervals 5. Maximum and Minimum (Extrema) Values 6. X and Y Intercepts 7. Symmetry 8. MultiplicityThe 48 slides included in this slidepack are very detailed and highly animated. Multiple slides are included for each topic and various function gra
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.C.7a
+3
Pre-Calculus Unit 1 Jeopardy Review: Functions!
Jeopardy game involving the following - evaluation of functions, transformations, piecewise functions, domain and range, symmetry, even and odd functions, increasing and decreasing intervals, inverses, and composition of functions.
Each slide has a one minute timer to help keep students on task and the classroom organized. An answer slide is provided for each question.
10th - 12th
Algebra 2, PreCalculus
Quadratic Functions worksheet
Given the graph students are asked to identify the vertex, axis of symmetry, y intercept, x-intercept(s), intervals of increase/decrease and end behavior of the function. Students are also asked to write the function in vertex form given the graph.
8th - 12th
Algebra, Algebra 2, PreCalculus
Describing Polynomial Functions (Graphs)
Allow students practice describing the various features of polynomial functions. describe end behaviordescribe the intervals where the function is increasing and decreasingdescribe the intervals where the function is above and below zero
10th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSA-APR.B.3
, HSF-IF.A.1
, HSF-IF.A.2
+2
Also included in: Polynomial Functions Resource Bundle (PrBL PBL Unit)
HPC: CU 1A: 1.2 day 2: Functions and their Properties
- Continuity of Functions
- Removable and nonremovable discontinuity
- Identifying points of discontinuity
- Finding Local Maximum and Minimums
- Identifying Intervals where function is increasing, decreasing, and constant
- Determining Boundedness of a Function
10th - 12th
PreCalculus
annotated: HPC: CU 1A: 1.2 Day 2: Functions and their properties
- Continuity of Functions
- Removable and nonremovable discontinuity
- Identifying points of discontinuity
- Finding Local Maximum and Minimums
- Identifying Intervals where function is increasing, decreasing, and constant
- Determining Boundedness of a Function
10th - 12th
PreCalculus
Trig Equations Practice
Set of 5 problems for solving trig equations. Students are to match the equation to its correct solution. Starts off easy and increases in difficulty. This product can be used a formative assessment, handout practice, or you can have students choose three of the five problems to complete. This way they are choosing their difficulty level. Answers included!
11th - 12th
Other (Math), PreCalculus
Graph Terminology - Guided Notes
This item is a set of guided notes used when teaching high school students how to read the graph of a function and determine domain, range, increasing, decreasing, global and local maximums and minimums, etc. I have typically used this when reviewing functions with my Pre-calculus classes. The student version and the teacher version are included.
10th - 12th
Algebra 2, Graphing, PreCalculus
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
Intro to functions (halloween) review
This halloween themed review is used for a quick review of properties of functions. Topics included: Parent functions, domain and range, Even and odd functions, local and absolute max and min, increasing/decreasing, and average rate of change. How I play: Students solve questions individually or in pairs before the timer runs out. Their answer is written on a whiteboard of piece of paper. At the end if time, I go around and give a card to each team/player with the correct answer. Heres the tr
9th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.5
, HSF-IF.B.6
+2
Functions and Their Properties Advanced Math/Pre Calculus Mini Lesson
This SmartBoard mini lesson includes determining if a relation is a function, function notation, implied vs relevant domain, findng the domain and range of a function, continuity and types of discontinuity, increasing and decreasing functions, boundedness, local extrema, even and odd functions, identifying asymptotes,and using limit notation,
10th - 12th, Higher Education
Calculus, PreCalculus
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
Polynomial Function Project - Roller Coaster
In this project, students learn how to use polynomial function to model roller coaster rides. In this first part, they are given some polynomial functions to find the relative maximum/minimum, increasing/decreasing intervals, x- and y-intercepts, etc. They will explore the average rate of change. In the second part of the project, students are asked design their own roller coaster given some basic criteria. Students should use graphing devices/computer applications to complete this project.
9th - 12th, Higher Education
Algebra 2, Applied 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
PreCalculus: Analyzing Graphs of Functions
This is available as part of a Chapter 1 Bundle for 20% off!
All of my Precalculus work is aligned with the Larson/Hostetler series.
Sections numbers may vary depending on the edition you use.
This section includes:
Domain, range and zeros
Vertical line test
Increasing/decreasing intervals
Finding maxima and minima
Even/odd function characteristics
* If background is too dark, set transparency to 70%. I do not know why the transparency is not preserved in the downloads.
10th - 12th, Higher Education
Algebra 2, 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
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)
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
Sketch a Graph Activity - Key Features of Functions
Algebra II and Pre-Calculus This activity can be done independently or with partners. Give students the description card and a blank graph (whiteboards or graphing paper). Students will sketch a graph that matches the key features listed on the description card. Key features covered: ●Domain ●Range ●Increasing and Decreasing Interval ●Positive and Negative Intervals ●X-intercept ●Y-intercept
8th - 12th
Algebra 2, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.B.5
, HSF-IF.C.7
+2
Curve Sketch Matching - Digital Drag & Drop Activity
I LOVE curve sketching and it is one of my favorite topics to teach! I designed this Curve Sketch Matching - Digital Drag & Drop Activity specifically for my Alg II class because most of the resources out there were designed for calculus students. This activity has students match: 1) Intervals of increase and decrease 2) Intervals of positive and negative y-values 3) End Behavior 4) Degree (even or odd) and Leading Coefficient (positive or negative). There are 40 strips in total and 10 matchin
10th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.C.7
, HSF-IF.C.7c
Functions Review Activity - Matching - Algebra 2
This item is a functions review activity to be used at the end of a functions unit in Algebra 2. Students look at graphs and try to match the different characteristics to each graph. Some graphs may look different but may have some of the same characteristics, which makes this activity challenging. The characteristics included are: domain, range, x and y intercepts, increasing and decreasing intervals, end behavior, and horizontal and vertical asymptotes.
I like to get my students out of the
9th - 12th, Higher Education
Algebra 2, Math, PreCalculus
HPC: CU 1A: Review: Functions, Inverses and Modeling
- Match the numerical model to the corresponding graphical model and algebraic model:
- Find an algebraic model to represent the data
- Solving Equations Algebraically
- Solving Equations Graphically
- Grapher Failure
- Hidden behavior
- Solving equations Graphically
- Scatter plots
- Regression equations
- Vertical Line Test
- Defining a Function in Equation Form
- Finding the Domain of a Function
- Finding the Range of a Function
- Continuity of Functions
- Removable and nonremovable discont
10th - 12th
PreCalculus
annotated: HPC: CU 1A: Review: Functions, Inverses, and Modeling
- Match the numerical model to the corresponding graphical model and algebraic model:
- Find an algebraic model to represent the data
- Solving Equations Algebraically
- Solving Equations Graphically
- Grapher Failure
- Hidden behavior
- Solving equations Graphically
- Scatter plots
- Regression equations
- Vertical Line Test
- Defining a Function in Equation Form
- Finding the Domain of a Function
- Finding the Range of a Function
- Continuity of Functions
- Removable and nonremovable discont
10th - 12th
PreCalculus
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