Function Notation
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Function Notation - Lesson and Practice
This lesson on function notation includes a powerpoint for instruction, a worksheet on function notation (with included answer key), and a bonus worksheet on domain and range of quadratic functions.
11th - 12th
Graphing, PreCalculus
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-
9th - 12th
Algebra 2, 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
Parent Function Graph Task Cards for Algebra 2 in Digital and Print
Do your algebra 2 students need more practice with parent functions and the domain and range? These Google Slides™️ include 30 no prep questions that will save you time and check to see if your students understand determining the parent function and stating the domain and range in interval notation. These cards are great for Precalculus and Algebra 2 students working on functions. Now includes multiple choice and free response for every question for a total of 60 printable task Cards. ⚡Boom
9th - 12th
Algebra 2, 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
Inverse Functions and Factoring (Editable)
When covering inverse functions, most texts stick to a very consistent notation, which doesn't work so well when your students encounter international symbols for functions, such as in an IB curriculum.
I wrote this worksheet to make sure students could have practice with the notation.
I use it within cooperative groups, and I circulate to make sure they are getting the purpose of the questions.
The file includes spiral review problems.
This worksheet is intended for students to show their w
10th - 12th
Math, Other (Math), PreCalculus
Functions and Relations Bundle
Precalculus Unit 1 - Functions and function notation bundle of no prep lessons which include: Function notation - evaluating functions with numerical values and algebraic expressionsFunctions - horizontal and vertical line testsDomain and Range - exploring the domain and range of functions and determining which values may need to be excludedComposite Functions - finding composite functions and solving equationsInverse Functions - finding the inverse and solving problems involving inverse functio
9th - 12th
Algebra, Math, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.C.7b
+5
Alg 2 review/domain and range/interval notation
Review of graphing polynomial functions, domain and range, and interval notation
10th - 12th
PreCalculus
IB Math SL- Functions, Compositions, and Inverses PowerPoint Notes & Problem Set
These PowerPoint notes (102 slides) and accompanying problem set focus on inputs/outputs, functions, function notation, representing functions as equations, tables, and graphs, compositions of functions, and inverse functions
9th - 12th
Algebra 2, PreCalculus
01-00 Attributes of Functions Unit
SAVE $12.00!!! Get the entirety of the Functions Attributes unit! Unit contains introductions to function notation, inverse functions, analyzing graphs, and transformations of functions. Preview the entire unit!: https://jmp.sh/ycVamPP * Previews do NOT show the entire document. *
9th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.4
+4
Piecewise Functions Graph Cutting Activity
A hands-on activity to help students understand and visualize how domain works for piecewise functions. Students will learn to read the notation of a piecewise function to be able to cut out sections of the appropriate graphs to form a given piecewise function. Answer key included.
10th - 12th
Algebra 2, Math, PreCalculus
Pi Day Trivia Activity: Domain of Logarithmic Functions (editable)
Students will determine the domain of 10 functions containing logarithms. Half of the functions combine logarithms with rational functions. The domain is written using interval notation. The correct domain will lead to answers to trivia questions related to pi .
10th - 12th
Algebra 2, PreCalculus
Intro to Functions Scaffolded Notes
Scaffolded/guided notes for a high school lesson or refresher on:
Relation vs Function
Domain and Range
Vertical Line Test
Function vs Not a Function
Function Notation
Domain Rules (Square roots and Fractions)
Piecewise functions
Use this as a reference sheet for the first chapter of Algebra 2, Trigonometry, Pre-Calculus, or College Algebra. Students have all of their definitions and examples in one place!
2 pages, formatted with enough space in each section for students to write definitions, d
9th - 12th
Algebra 2, Other (Math), PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
Shifting and Stretching Functions (Editable)
My IB/ Precalculus students were familiar with the concept of shifting and stretching functions, but when I used it in the context of function notation, they seemed to have no idea what I was talking about. I wrote this worksheet to help them make sense of what happens to functions that can't easily be manipulated on a graphing calculator.
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
10th - 12th
Graphing, Math, PreCalculus
Working with Functions I
The unit on functions is one of the most challenging for math students to master. Finding domain and range of functions, determining inverses and real roots and using function notation are all included in this package.
Working with Functions I is designed to be used as an introduction of functions for Algebra I and as a strong review for Algebra II and Advanced Math classes.
The included material includes study pages with keys for each level, two quizzes and five student help pages for cla
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-BF.B.4d
+3
One to One Functions | Notes for Pre-Calc & Alg 2 | Editable & No-Prep |
Need an Editable, No-Prep resource for teaching Functions and what they can look like in all their various forms for your Pre-Calc or Algebra 2 class? Look no further! What is included?Guided Notes and ExamplesAn answer key for everything so you can print and go!What topics are included?Students will review: Function NotationFunction OperationsStudents will learn how to determine if something is a function when it is: On a graphIn an equationIn a tableA piecewise function Students will ne
9th - 12th
Algebra, Algebra 2, PreCalculus
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
10th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.C.7c
Inverse Trig Functions Guided Notes | Scaffolded Lesson + Homework + Answer Key
These Inverse Trigonometric Functions Guided Notes are the perfect companion to your trigonometry instruction! Designed to work seamlessly with the matching PowerPoint lesson, this resource provides a highly structured, student-friendly experience for exploring inverse sine, cosine, and tangent functions. This resource includes: ✔️ Complete guided notes with built-in scaffolding ✔️ Conceptual and visual explanations of inverse trig functions ✔️ Clear connection to special right triangl
10th - 12th
Algebra 2, Geometry, PreCalculus
AP Calculus: Finding Limits Graphically Complete Lesson
This lesson emphasizes an intuitive approach to limits. Students are shown how to find two-sided and one-sided limits from a graph. They are also asked to draw a graph that meets certain limit conditions.
The use of a calculator to find limits is introduced, along with a word of caution.
This lesson is appropriate for both AP Calculus AB and BC.
Detailed answer keys are included.
The topics covered include:
-Limits and Tangent Lines
-Finding a Limit of a Function
-Limit Notation
-Understan
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: AP Calculus: Limits and Continuity Unit Bundle
AP Calculus: Properties of Functions Complete Lesson
This lesson is a review of the basic properties of functions with special attention given to those properties that are most relevant for calculus.
This can either be used as part of a summer assignment to help students get ready for calculus or it can be used as a review at the beginning of the school year. It could also be used as part of an "Introduction to Calculus" unit at the end of a precalculus course.
This lesson is appropriate for both AP Calculus AB and BC, as well as college calcul
10th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
Also included in: AP Calculus: Functions Unit Bundle
AP Calculus: The Derivative Function Complete Lesson
This lesson begins by introducing the derivative at a point. Then students learn to work with the derivative function. The graph of the derivative is briefly introduced--this will be explored further in a future lesson. Students also get practice with finding the equation of a tangent line and using alternate notation for the derivative. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -The Derivative at a Point -Alterna
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: AP Calculus: Derivatives Unit Bundle
Trigonometry First Semester Review Part 2 (Editable)
In the last three days before final exams, my trigonometry/IB students get very anxious about what to expect on the final exam. To help allay their fears, I created a series of three review worksheets, which are similar to the problems on the final exam.
This is part 2 of 3. I use it within cooperative groups, and I circulate to make sure they are getting the purpose of the questions.
This worksheet is intended for students to show their work on a separate sheet of paper.
Please download th
10th - 12th
Math, Other (Math), PreCalculus
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