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Preview of Properties and Characteristics of Functions

Properties and Characteristics of Functions

Created by
MathMUDtician
This worksheet covers several topics related to functions and their graphs. These topics include: domain, range, positive, negative, increasing, and decreasing intervals, extrema, end behavior, asymptotic behavior, inverses (graphs), one-to-one, symmetry (graphic and algebraic), and finding domains algebraically. I used it for extra credit practice before a quiz in Algebra 2 Honors.
Preview of IB Mathematics SL Worksheet 2 Financial Math Summer 2013 (Editable)

IB Mathematics SL Worksheet 2 Financial Math Summer 2013 (Editable)

Created by
Peter Jonnard
During the summer, my IB/Precalculus students need to keep their skills sharp, so I wrote a series of worksheets for this purpose. This particular worksheet focuses on financial math -- basic applications of percentage increase/decrease and how percentages may be misleading. For this worksheet, I expect students to show their work on a separate sheet of paper. Please download the pdf preview file first, so you can see exactly what's included; the product file is a word document, which you may
Preview of Exploration Topic 3.15 for AP Precalculus - Rates of Change of Polar Functions

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
Preview of Polynomial Function Project - Roller Coaster

Polynomial Function Project - Roller Coaster

Created by
Algomath
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.
Preview of Functions Review Activity - Matching - Algebra 2

Functions Review Activity - Matching - Algebra 2

Created by
The Engineer
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
Preview of End Behavior of Functions Worksheet | Polynomial Graph Analysis

End Behavior of Functions Worksheet | Polynomial Graph Analysis

This End Behavior worksheet helps students practice identifying the end behavior of functions from graphs. Students analyze several graphs and determine what happens to the function as x approaches positive and negative infinity. Students will complete statements such as: As x → +∞, f(x) → ___ As x → −∞, f(x) → ___ The worksheet includes bilingual directions in English and Spanish, making it accessible for multilingual classrooms and Spanish-speaking learners. Students will practice: Inte
Preview of Maxima, Minima, and Zeros Quiz | Polynomial Graph Features & Factored Functions

Maxima, Minima, and Zeros Quiz | Polynomial Graph Features & Factored Functions

This Algebra 2 quiz assesses students’ understanding of key features of polynomial functions, including maxima, minima, and zeros. Students analyze graphs to identify relative maximum and minimum points, and they determine zeros from factored polynomial functions. The quiz includes bilingual directions in English and Spanish, making it accessible for multilingual classrooms and Spanish-speaking learners. Students will practice: Identifying relative maxima and minima from graphs Writing coo
Preview of Identifying Zeros & Factors Quiz | Polynomial Functions Assessment

Identifying Zeros & Factors Quiz | Polynomial Functions Assessment

This Identifying Zeros Quiz assesses students’ ability to determine the zeros of a polynomial and list the corresponding factors. Students analyze each problem and identify the roots of the function before writing the related factors. The quiz includes bilingual directions in English and Spanish, making it accessible for multilingual classrooms and Spanish-speaking learners. Students will practice: Identifying zeros (roots) of polynomial functions Writing factors corresponding to each zero C
Preview of Statistics Binomial Theorem and Trigonometry Quiz Review Spring 2013 (Editable)

Statistics Binomial Theorem and Trigonometry Quiz Review Spring 2013 (Editable)

Created by
Peter Jonnard
Before I gave my IB/Precalculus students a formative quiz on statistics, the binomial theorem, and trigonometry concepts, they requested a one-day review worksheet. This is the result of that request. I use this activity within cooperative groups, and I circulate to make sure they are getting the purpose of the questions. The file includes spiral review problems. For this worksheet, I expect students to show their work on a separate sheet of paper. Please download the pdf preview file first
Preview of Arithmetic Series & Sequence Quiz

Arithmetic Series & Sequence Quiz

Created by
A R Mathematics
Arithmetic Series & Sequence Quiz 20 questions 2 pages High School and College level. My Quizzes: 

 4th Grade Word Problems Quiz (10 Q) Equations and Inequalities Quiz (20 Questions) An Introduction to Functions Quiz (11 Questions) Evaluate Expressions Quiz (22 questions) Pairs of Lines Quiz (17Q) Types of Angles Quiz (10 Q) Increasing Growth Pattern Quiz (10 Q) Compare and Order Decimals Quiz (10 Q) Ratio Quiz (10 Q) Absolute Value Quiz (10 Q) Numbers and Operations Quiz (1
Preview of Rational Expression - Multiply and Divide "Grade the Quiz"

Rational Expression - Multiply and Divide "Grade the Quiz"

Created by
Math Mill
I used this "Grade the Quiz" as a classroom activity for multiplying and dividing rational expressions. I wanted them to look at the factors and understand if they really are the correct factors. It's a little different then just asking them to do the work and I think they enjoyed it.
Preview of Finding Domain and Range of Piecewise Functions

Finding Domain and Range of Piecewise Functions

This interactive and student-friendly resource helps students master the challenging skill of finding the domain and range of piecewise functions. Whether you’re reviewing for a test or introducing the topic, this worksheet is the perfect tool to build understanding and confidence. ✅ Includes clear, well-formatted graphs ✅ Students practice identifying domain and range in interval notation ✅ Great for classwork, homework, stations, or sub plans ✅ Comes with TWO versions: a clean, printer-
Preview of Exponential Functions and Grain of Rice Project

Exponential Functions and Grain of Rice Project

This is a differentiated activity incorporating exponential functions and "The Grain of Rice Story." As a class, the story is read in play form. Students are assigned parts to read. Then students are broken into groups designated by readiness. Each group is assigned a task based on the story. All tasks require the groups to make a table, graph, and write an equation based on a situation related to the story read. Tasks increase in difficulty from 1 through 4. Groups must make a poster displaying
Preview of Identifying Zeros from Graphs Worksheet | Zeros & Factors of Polynomial Function

Identifying Zeros from Graphs Worksheet | Zeros & Factors of Polynomial Function

This Identifying Zeros worksheet helps students practice determining the zeros of polynomial functions from graphs and writing the corresponding factors. Students analyze each graph, identify the x-intercepts (zeros), and then list the factors that correspond to those zeros. The worksheet includes bilingual directions in English and Spanish, making it accessible for multilingual classrooms and Spanish-speaking students. Students will practice: Identifying zeros from graphs Understanding x
Preview of Logs and Limits

Logs and Limits

The following are included in the document: Logarithmic Function Quiz Limits Day 1 Homework Limit Quiz 1 Lesson Plan: PSSA Review/Introduction to Logarithmic Functions
Preview of Polynomial Degree and Leading Coefficient Practice

Polynomial Degree and Leading Coefficient Practice

Created by
Mr Steffes
This is a graphic organizer that can be used as an activity in an algebra 2 or precalculus course for students to practice the vocabulary of Degree and Leading Coefficient of polynomials. Degree and Leading Coefficient are to be written on the lines and examples (provided by teacher or student-derived) go inside the ellipses. Students could use them to quiz each other, can share them on a document camera or post on a wall after being decorated. It is intended to be cut in half to make two copies
Preview of Weekly warm-up and exit ticket

Weekly warm-up and exit ticket

This is the form i use for my weekly warm-up and exit tickets. I do a challenge question at the beginning of the week and post a warm-up and exit question on the white board each day except Friday which for me is quiz day. The exit tickets are due at the beginning of class on Fridays
Preview of Polynomial End Behavior Guided Notes, Class Work, and Homework

Polynomial End Behavior Guided Notes, Class Work, and Homework

The problems and activities within this document are designed to assist students in achieving the following standards: HSF.IF.B.4 & HSF.IF.C.7.C, as well as the standards for mathematics practice and the literacy standards. They are also designed to help the teacher assess the students’ abilities when it comes to working with the ideas within the standards. This document contains the following related to polynomial end behavior: - guided notes and practice problems - homework, with solution k
Preview of Quiz on Exponents

Quiz on Exponents

Quiz on Exponents. Has solving equations, graphing, compound interest, evaluate, express using rational exponents and as radicals.
Preview of Exponent Quiz

Exponent Quiz

Quiz on exponents for Precalculus or Algebra 2. Has rational exponents, radicals and graphing.
Preview of Function Transformations Creation Project

Function Transformations Creation Project

The problems and activities within this document are designed to assist students in achieving the following standards: HSF.LE.A.1 and HSF.BF.B.3 as well as the standards for mathematics practice. They are also designed to help the teacher assess the students’ abilities when it comes to working with the ideas within the standards. This document contains an activity that provides students the opportunity to create a function, answer questions regarding its transformations, and create questions re
Preview of Complex Numbers Review Game

Complex Numbers Review Game

The problems and activities within this document are designed to assist students in achieving the following standards: HSN.CN.A.1, HSN.CN.A.2, HSN.CN.C.7, as well as the standards for mathematics practice and the literacy standards. They are also designed to help the teacher assess the students’ abilities when it comes to working with the ideas within the standards. This document contains the following: - practice problems related to: ~ complex numbers introduction and basics ~ operations with
Preview of Trig Reference Angles Quiz Quiz Trade

Trig Reference Angles Quiz Quiz Trade

Created by
YayMath
This activity is called Quiz and Trade. Each paper has a trig function on it (all six are included) or a reference angle on it (degrees and radians). When you copy this, copy the trig chart on the back so each paper has that chart on the back. Then you let the class loose to quiz each other and trade. A student with a trig function needs to find a student with an angle, then they talk through what they think the answer is and check their answer using the chart on the back. When they are done, t
Preview of Rational Functions

Rational Functions

Created by
SAM AG
Operations (add, subtract, multiply and divide) rational expressions and functions. Solving rational equations. Word problem involving rational functions. This packet includes two sets of the quiz. I pair students in the class. The questions are not same but similar. So they can coach the other student but cannot copy from the other person. Great co-operative learning activity. It is great to hear how students explain the problem to their partner. It is also to catch where they are struggling an
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