Linear, quadratic, square root, absolute value and reciprocal functions, transform parent functions, parent functions with equations, graphs, domain, range and asymptotes, graphs of basic functions that you should know for PreCalculus with video lessons, examples and step-by-step solutions.

In this packet you will find a number of worksheets that will help algebra 2 and pre calculus students work on analyzing functions with graphs and tables. Worksheets 1 and 2: 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. Worksheets 3 and 4: Students will be given two different functions on a single graph. Students will work on finding values of things like f(x) + g(x); f(x) – g(x); (f(x))(g(x)); f(x)/g(x); and combinations of these functions. Worksheets 5: Students will be given two different functions on a single graph. Students will work on finding the value of the composition of the two functions. Worksheets 6 and 7: Students will be given a table with values for f(x) and g(x). Students will use the table to find the value of the composition of functions. Full Size Answer Keys included. *************************************************************************** Need more fun activities, worksheets, puzzles, and notes for First Semester PreCalculus? This product is contained in my PreCalculus First Semester Bundle Check it out!

Our Functions chapter is full of great information that I would love my students to remember – even more than usual! I created this Graphic Organizer in the form of a foldable. It is stuffe…

This unit covers: Properties of a rational function. Graphing a rational function Part A, B, & C. Rational Zero Theorem. A Quiz & a Test.

This polynomial graphs maze is a fun and engaging activity to help Algebra 2 students practice and master graphing polynomial functions. The worksheet guides students to determine the equation of a polynomial function based on a sketch of the roots and end behavior, which is perfect for classes that are currently learning how to sketch polynomial functions given key features. The activity is self-checking, allowing students to easily identify and correct errors. It's also easy to use as it requires no preparation, just print and give it to the students. The best part? students will enjoy while they learn. Polynomial Graphs and Equations Maze Activity

Video Demo https://www.youtube.com/watch?v=o7vYe8fVULM “Future Presentation Template” is a multipurpose powerpoint template perfect for your business plan or personal use. We focused on the real topic use. With this presentation you will deliver dynamic and make your presentation interesting and unique. THIS IS YOUR BEST CHOICE! Get a modern Powerpoint Presentation that is beautifully designed and functional. This slides comes with infographic elements, charts graphs and icons. This presentation template is so versatile that it can be used in many different businesses. This powerpoint can be used for business plan, marketing plan, market review, new business funding request, business annual report, product review, marketing and promotions post launch review, market research, social media impact studies, education and training. FEATURES: 269 Multipurpose unique Slides (total +48000) Master Slide Layout (Drag to Upload Image) 30 Color Versions in Colored & Single Color (15 Multicolor, 7 Mix Color & 8 Single Color) All Template Bright & Dark +2500 Vector EPS Icon Included Custom animation for each object 16×9 (Widescreen) 4×3 (Normal Screen) US Letter (Print Ready) Extensive use of custom placeholders and smart art Easily editable, animation, transitions and more… Intotal 180 .PPTX File Include Image Placeholder PSD Include Can I customize the colors? Yes! This is at the heart of the design and it ís easy to do. Graphics are created with vector objects which can be scaled, recolored and edited with no loss of fidelity. They look great on screen, print great and make for a smaller file size too. Do I need custom fonts? We use the Bebas neue and roboto fonts, which is FREE! You can download it here and here Envato policy does not permit me to include the fonts in the files you download, but it ís super easy to just click on the link and download the fonts. What about the pictures you are using? This all image must be bought before use your presentation. Envato policy does not permit me to include any images (even the free ones) in the download, but links to all the images are included in the image documentation.pdf and it ís easy to download them and put them in your presentation. As a creative director at a major Ad Agency (I am not allowed to say which) I have access to a pretty large (and expensive!) library of stock photography, which would cost you a fortune to download. So I looked online to find free stuff that looks good that can save you money. If you love it, remember to FOLLOW ME so you'll be notified about my updates on new product launches! If you have any questions regarding this bundle or anything, just hit me with a message and let's have a virtual cup of coffee to discuss :)

Precalculus will be moving beyond their introduction to functions and function notation from Algebra II and into a in-depth development of transformations. We will be applying transformations (translations, reflections, dilations, etc.) to many of the parent functions included in the image above (we will save trigonometry for the Spring!). Understanding transformations is a crucial link between the algebraic form of a function and its graphical behavior. We will spend a considerable amount of time exploring this topic and working toward mastery. You all will continue to complete the lengthy linear programming problem set and for that reason I have a great deal of information to post--I will post the homework, reference materials, and a YouTube video that goes over the basics of linear programming from the previous week on linear programming as well as the upcoming information on transformations! Enjoy. Text Examplars: Homework Reference Material Wolfram Demonstration Upcoming Material for the next two weeks. Text Examplars: Homework Reference Material Videos on Transformations: Brightstorm Videos ______________________________________________________________________________ Algebra 2 will be moving into systems of equations through the lens of coordinate geometry. Below is a student work example of some of the resources I will be using and what we will be exploring. The purpose is for students to have a concrete link between their algebraic worlds and geometric worlds as well as to ground the solving of systems in the graphical world and slowly move to more abstract manipulation. Check out this 3D Lathe that will help you visualize the creation of 3D geometric figures from the two-dimensions of the coordinate plane. http://www.fi.uu.nl/toepassingen/00182/toepassing_wisweb.en.html Homework (from the University of Houston) Reference Material Reference Sheet 1 Reference Sheet 2 Brightstorm Videos: These videos are aligned to the sections from your textbook, so as you are completing homework from your textbook you can easily locate the most relevant videos for you!

There are many ways to WOW your students in class. This is a lesson that can be fun for you and them. Absolute Value Functions and Graphs are all around us!

Students make connections with functions and graphs in this Rational Functions matching activity. These print and digital practice worksheets include a fill-in-the blank table, with some information already given. Then, students match the graphs to the characteristics and fill in the missing information. This rational function review activity will have your students comparing and contrasting functions and graphs in a creative way. No prep – simply print or share digitally for an instant, interactive learning experience. This dynamic rational function review activity goes beyond reinforcing essential math skills – it gives your students’ an opportunity for meaningful discussion and critical thinking. Elevate your lesson with this comprehensive review on graphing rational functions! Students analyze aspects of rational functions: factor and simplify vertical asymptotes holes horizontal asymptotes x-intercepts y-intercepts domain INCLUDES 8 graphs Student work pages - fill in the blank tables Answer Key Digital version – Google Slides Click on the PREVIEW button above to see the graphs and functions used in this activity. ⭐ DID YOU KNOW?!?! – You can earn TPT CREDIT by leaving a review!!! I appreciate all feedback on my resources! ⭐ ❤️ LOVE this activity?❤️ You can find more here: Linear Functions Quadratic Functions Transformations of Quadratic Functions Characteristics of Functions & Graphs Parent Functions Polynomial Functions ∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞ © Algebra and Beyond This product is intended for personal use in one classroom only. For use in multiple classrooms, please purchase additional licenses.

This introductory activity is designed to help students develop a better understanding of the relationship between the factors of a quadratic function and the x-intercepts of its related graph. Students will practice factoring quadratic expressions throughout. Problems 1 to 10 have a leading coeffi...

Students will love these handwritten guided notes on the unit circle (in both radians or degrees) and graphs of trigonometric functions, including sin, cos, tan, csc, sec, and cot. You have the option of giving students a blank copy to fill out, or providing them with the answer key! Download and p...

File for the Post: Relations and Functions Card Sort This lesson was created for a mandatory tutorial session for Algebra 1 students. I was in charge of creating a 30 minute review lesson over "Relations and Functions." This lesson had to include a 5-10 minute review lesson and an activity. First, students went over this graphic organizer with four practice problems to review relations and functions. After students reviewed relations and functions, they independently completed the following cut and paste activity. If you read my blog, then you know all about my love for card sorts! Students had to match up the correct table, graph, map, and ordered pairs together and determine if the relation was a function. If you download the activity, then you will notice that there is a separate document that does not require cutting (if you do not have the time). Sorry for the short and sweet post, I just had several teachers ask for the cut and pasted document.

This free pdf download helps students through the steps of graphing exponential functions. The reference sheet shows the steps through an example, its shifts, its parent table, its function table and finally its exponential graph.

This is a foldable that compares and contrasts the Exponential Parent Function and the Logarithmic Parent Function and their associated graphs and key values. Since there really isn't one function that can be considered the "parent function" for these two functions, this foldable has the student graph: y = 2^x, y = 10^x and y = e^x and each logarithmic inverse on the same graph. Then, they identify the domain and range, asymptote and zero for each function. Key included. Also available: © 2021 Secondary Math Solutions This purchase is for one teacher and for classroom use only. All rights reserved. No part of this product may be reproduced, transmitted or distributed without express permission from the author. This product may not be posted or uploaded to the Internet in any form including classroom websites or network drives. If other teachers, colleagues, teams, schools or districts wish to use this resource, additional licenses must be purchased.

Piecewise Functions in Algebra 1 Common Core Evaluating and Graphing Piecewise Functions. Students will state interval of which the function is either increasing or decreasing. Determine greater average rate of change given an interval. Students will graph a piecewise function which involves a linear function and absolute value function. Do you want more test review prep/station activities like this one? See my growing bundle of Algebra 1 Common Core Regents Review and Test Prep Bundle! Takes roughly 15-20 minutes. NO PREP NEEDED. Answer key and DETAILED SOLUTIONS provided! GREAT RESOURCE for Algebra 1 Common Core Regents Review SUGGESTION: Use pocket folders for each station. Put the answer key in left-hand pocket. Leave copies of the station activity in the right hand pocket. When students are working in their stations, they can check their work with the answer key. I do this in my classroom and it is extremely effective. Please leave feedback.

This Evaluating Piecewise Functions Activity Pack includes a Maze, Matching, and a Graphing activity and will give your student the practice they need to succeed. What's included? The first activity is a maze with 16 Piecewise Defined Functions. Students evaluate the functions at a given value working their way around a maze to complete 15 of the 16 problems. Both color and a black and white ink-saver version are included. For the second part of the activity students match the graphs of the 16 piecewise defined functions with their equations. As a third activity, or to do at a later date, I have included pages for graphing the functions in part two by hand. Answer keys included. __________________________________________________ You may also like: ★ Piecewise Functions Digital Escape - new! ★ Piecewise Functions Triple Match - Function, Graph, and Domain-Range ★ Evaluating Piecewise Functions Digital Maze plus Matching same problems ★ Piecewise Defined Functions Task Cards and HW ★ Piecewise Defined Functions Digital Activity ★ Graphs of Piecewise Defined Functions Self Grading Digital Assignment ★ Graphing a Piecewise Defined Function on TI-83 84 Graphing Calculator ★ Graphs and Properties of Functions Bundle of Activities ★ Functions and their Graphs - PreCalculus Unit 1 ★ PreCalculus Curriculum Mega Bundle __________________________________________________ Connect with me: ✓ Sign up at Joan's World of Math to access my exclusive Free Resource Library ✓ Visit my Facebook Page ✓ Follow me on Instagram ✓ Email me at: [email protected] with any questions LICENSING TERMS: The purchase of a license for this resource is for use by one teacher only for his or her students only. No part of this resource is to be shared with colleagues or used by an entire department, school, or district without purchasing the proper number of licenses. COPYRIGHT TERMS: ©2022 Joan Kessler (joansworldofmath.com™). This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

This Trigonometric Function Reference Sheet contains the names, equations, graphs, domain, range, period, y-intercept, x-intercept, vertical asymptotes (when applicable), and whether the function is even or odd. The functions included are the parent functions of the sine function, cosine function, tangent function, cosecant function, secant function, and cotangent function. The reference sheet is presented in radians first, and then also in degrees. You may also find the resource "Parent Function Reference Sheet" helpful: https://www.teacherspayteachers.com/Product/Parent-Function-Reference-Sheet-6078590

These parent function graphic organizers help students input function table data, graph functions, and analyze different parts of each graph. They are a perfect and easy way for students to identify and learn about each parent function – including linear, quadratic, exponential, absolute value, and more! These clear and concise graphic organizers can be used as a print and go packet or add to interactive notebooks. 18 Parent Functions - Graphic Organizers: • Linear • Absolute Value • Quadratic • Greatest Integer • Cubic • Reciprocal • Square Root • Cube Root • Exponential • Logarithmic • Natural Logarithm • Logistic • Sine • Cosine • Tangent • Cotangent • Secant • Cosecant • AND a blank one! The graphic organizers include domain, range, continuity, symmetry, local maxima and minima, periods, asymptotes, intervals of increase and decrease, end behavior, x and y-intercepts, a table of points, and a graph. *Now includes a version WITHOUT continuity and symmetry. Two graphic organizers per page. A perfect size for an interactive notebook! Students can fill them in or a typed answer key version is included as well. These are great to give to students each time a new function is introduced. Click on the PREVIEW button above to view the graphic organizers. ⭐ DID YOU KNOW?!?! – You can earn TPT CREDIT by leaving a review!!! I appreciate all feedback on my resources! ⭐ Looking for more function activities? Parent Functions Matching Activity Real World Quadratic Functions Project Piecewise Functions Lesson Inverse Functions Lesson Graphs of Linear Functions Matching Activity Graphs of Quadratic Functions Matching Activity Piecewise Functions Project Graphs of Rational Functions Matching Activity Graphs of Polynomial Functions Matching Activity Transformations of Functions Notes: Quadratic | Absolute Value | Square Root Transformations of Trigonometric Functions Lesson ∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞ © Algebra and Beyond This product is intended for personal use in one classroom only. For use in multiple classrooms, please purchase additional licenses.

Quadratic/Parabola Function Graph Trasformation - Card Matching Game - Activity My students find this activity a great way to learn all of the transformations of the quadratic function. I give each student their own set (only 2 pages to print) or you can laminate a set for the classroom. The firs...

Table of Trigonometric Parent Functions Trig Functions in the Graphing Calculator Graphs of the Six Trigonometric Functions More Practice Note that […]

Build student understanding of identifying transformations from the Exponential Parent Function and using these transformations to graph with this Graphing Exponential Functions Note Guide! This lesson includes a Warm Up that leads your students discover the patterns in graphing exponential parent functions of any base, and then asks students to extend that discovery by interpreting the transformations that they see from an Exponential Function Rule! By the end of this lesson, your students will be graphing ANY exponential function rule with ease! The examples in this lesson include the transformations: Reflection across the x-axis, Vertical Stretch, Vertical Shrink, Translation Left/Right/Up/Down. The transformations in this note guide do NOT include reflections across the y-axis, horizontal stretches or horizontal shrinks! This Purchase includes: WARM UP ACTIVITY: This Warm Up guides students to discover patterns on the graphs of Exponential Parent Functions. NOTE GUIDE: Includes discovering patterns of Exponential Parent Functions as well as graphing transformed Exponential Functions (Reflection across the x-axis, Vertical Stretch, Vertical Shrink, Translation Left/Right/Up/Down. The transformations in this note guide do NOT include reflections across the y-axis, horizontal stretches or horizontal shrinks! ) The 2 Versions included of this Note Guide will allow you to differentiate for your classroom of learners! VERSION A of this Note Guide: All examples printed on note guide. VERSION B of this Note Guide: All examples left blank on note guide to be written by students during instruction. TEACHER KEY & TIPS GUIDE: A Teacher Key & Tips Guide is included to help you as you teach this lesson. There will be no prep on your part, other than to print! Lesson Bundles that include this item: Graphing Exponential Functions Note Guide & Presentation for Google Slides™️ LESSON BUNDLE ☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶ ✨ More items in my EXPONENTIAL & LOGARITHMIC FUNCTIONS, EXPRESSIONS, & EQUATIONS Unit: ✨ Graphs of Exponential Functions LESSON BUNDLE Graphs of Logarithmic Functions LESSON BUNDLE Evaluating Logarithmic Functions LESSON BUNDLE What makes a Logarithmic Expression Undefined? LESSON BUNDLE Properties of Logarithms Discovery Note Guide Graphing Exponential & Logarithmic Functions "Ask Another" Task Cards Solving Exponential & Logarithmic Equations WAR Card Game ☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶ More Algebra 2 Units available from Wise Weyh's: ➡️ INTRODUCTION TO FUNCTIONS (Identifying Functions, Domain/Range, The 9 Basic Parent Functions, Transformations of Functions [a, h, & k], Piecewise Functions) ➡️ LINEAR EQUATIONS, INEQUALITIES, & SYSTEMS ➡️ ABSOLUTE VALUE FUNCTIONS, EQUATIONS, & INEQUALITIES ➡️ QUADRATIC EXPRESSIONS, FUNCTIONS, & EQUATIONS ➡️ TRIGONOMETRY ON THE COORDINATE PLANE (Right Triangle Trigonometry with all 6 Trigonometric Ratios, Angles of Rotation [Degrees & Radians], Coterminal & Reference Angles, Trigonometry on the Unit Circle, Graphs of Sine & Cosine Functions) ☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶☶ ✨ Stay Connected! ✨ Be the first to see my latest resources! All new resources are marked 20% off for the first 48 hours after posting! Click here to follow my store! Copyright ©️ Jamie Weyh (Wise Weyh's), 2022 - present All rights reserved by author. Permission to copy for classroom use only. Electronic distribution limited to classroom use only.

Domain and range intervention! Teaching domain and range in special education

This water lab is a super fun way to introduce nonlinear functions in an algebra class. The math department at my school uses this lab as a way to start the school year in Algebra 2. The students love it, and by the end of the lab every student understands what it means to be an algebraic function!

graphing rational functions cheat sheet

We all know that it's important for our students to get practice graphing functions but boy can it get tedious! This activity makes graphing exponential functions more engaging. Students will graph 5 exponential functions in order to "catch" all of the owls on the graph. Answer key included!Looking ...

Graphing Linear Equations Worksheet. Students begin their study of algebra in Books 1-4 utilizing only integers. It cost them plus per mile to hire the motor house, so the linear equation offers the price, for driving miles. The graph of a line