Function Notation
32+ results
Filters
Subject
Format
Resource type
Standard
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
Precalculus - Polynomial Functions - Test, Review, Answers BUNDLE
FULL PREVIEWS AVAILABLE! Topics covered: Factoring Polynomials, End Behavior, Limit Notation, Synthetic Division, Long Division, Testing Zeros, Graphing Polynomials, Optimization Problems, Solving Equations, Complex Solutions, Solving Inequalities These are a fully editable Word documents that you can use for a review/test at the conclusion of a Polynomial Functions unit in Precalculus or Math Analysis. This includes point totals for scoring the test. Please click on the preview document to see
9th - 12th
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
Graphs of Trigonometric Functions Learning Target Quiz
This quiz was used as a formative assessment in an honors precalculus course, but it could easily be used in an advanced algebra 2 or non-honors precalculus course. It contains the following questions. 1. Find the domain and range (in interval notation, if possible, in set-builder notation otherwise), amplitude, period, phase shift and vertical shift then sketch two complete cycles of the graph of the given sine function. 2. Find the domain and range (in interval notation, if possible, in set
11th - 12th
Algebra 2, PreCalculus
Precalculus - Polynomial Functions - Unit Test and Answers
FULL PREVIEW AVAILABLE! Topics covered: Factoring Polynomials, End Behavior, Limit Notation, Synthetic Division, Long Division, Testing Zeros, Graphing Polynomials, Optimization Problems, Solving Equations, Complex Solutions, Solving Inequalities This is a fully editable Word document that you can use for a test at the conclusion of a Polynomial Functions unit in Precalculus or Math Analysis. This includes point totals for scoring the test. Please click on the preview document to see a full wat
9th - 12th
PreCalculus
Also included in: Precalculus - Polynomial Functions - Test, Review, Answers BUNDLE
Precalculus - Polynomial Functions - Test Review and Answers
FULL PREVIEW AVAILABLE! Topics covered: Factoring Polynomials, End Behavior, Limit Notation, Synthetic Division, Long Division, Testing Zeros, Graphing Polynomials, Optimization Problems, Solving Equations, Complex Solutions, Solving Inequalities This review is directly related to my Polynomials Unit Test. These items are also available as a bundle. This is a fully editable Word document that you can use for a review at the conclusion of a Polynomial Functions unit in Precalculus or Math Analy
9th - 12th
PreCalculus
Also included in: Precalculus - Polynomial Functions - Test, Review, Answers BUNDLE
Precalculus - Equations, Inequalities, Functions - Unit Test with Answers
FULL PREVIEW AVAILABLE! Topics covered: Factoring, Set and Interval Notation, Solving Inequalities (polynomial and rational), Determining Domain, Linear Functions Review, Mixture Problems (solving systems review) This is a fully editable Word document that you can use for a test at the conclusion of a Equations, Inequalities and Functions unit in Precalculus or Math Analysis. This includes point totals for scoring the test. Please click on the preview document to see a full watermarked PDF ver
9th - 12th
Algebra, Math, PreCalculus
Also included in: Precalculus Unit Test Bundle - 16 Tests with Answers
Functions
Guided Notes over Functions. These notes include interval notation, set-builder notation, writing relations, domain, range, vertical line test and determining if a relation is a function.
10th - 12th
PreCalculus
Alg 2 review/domain and range/interval notation
Review of graphing polynomial functions, domain and range, and interval notation
10th - 12th
PreCalculus
Precalculus - Functions and Graphs - Test Review and Answers (version 2)
FULL PREVIEW AVAILABLE! Topics covered: Set and Interval Notation, Solving Inequalities, Definition of a Function, Even and Odd Functions, Inverse Functions, One-to-One Functions, Restricting Function Domain, Difference Quotient, Average Rate of Change, Operations with Functions, Composition of Functions, Piece-wise Functions This review is directly related to my Function and Graphs Unit Test. These items are also available as a bundle. This is a fully editable Word document that you can use f
9th - 12th
PreCalculus
Precalculus - Functions and Graphs - Unit Test and Answers (version 2)
FULL PREVIEW AVAILABLE! Topics covered: Set and Interval Notation, Solving Inequalities, Definition of a Function, Even and Odd Functions, Inverse Functions, One-to-One Functions, Restricting Function Domain, Difference Quotient, Average Rate of Change, Operations with Functions, Composition of Functions, Piece-wise Functions This is a fully editable Word document that you can use for a test at the conclusion of a Functions and Graphs unit in Precalculus or Math Analysis. This includes point to
9th - 12th
PreCalculus
Functions Quiz
Quiz over functions, positive and negative, zeros, increasing, decreasing, function notation, etc.
10th - 12th
Algebra 2, PreCalculus
Precalculus Unit 1 - Functions & Graphs - Notes, HW, Review, Test, Answers
FULL PREVIEW AVAILABLE! Editable Word Doc! Topics covered: Interval and Set Notation, Definition of a Function, Even and Odd Functions, Inverse Functions, One-to-One Functions, Restricting Function Domain, Difference Quotient, Average Rate of Change, Operations with Functions, Composition of Functions, Piece-wise Functions 8 days of notes and homework, unit review, test, and answers to all included! If you would like a PDF version of the this unit email me at moMath4U@gmail.com with proof of p
9th - 12th
PreCalculus
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
Daily Assessment: Functions 1; two versions (Editable)
I wrote this daily assessment for my students to show how they were progressing on the topic of functions and using function notation.
I project daily assessments at the front board for the first 10 minutes of class, and they typically cover material taught two classes ago, which gives the students a chance to do the homework and ask questions about it before they are assessed.
Since my students normally sit at tables for two, I have the kid on the left side of the table take the "left side"
9th - 11th
Algebra 2, Math, 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
Pre-Calculus 11: Absolute Value Functions Quiz with FULL SOLUTIONS
Quiz covers the following sections:
Solving Absolute Value Equations Algebraically
Solving Complex Absolute Value Equations using a Graphing Calculator
Graphing Absolute Value Equations
Write functions in piecewise notation
Full Solutions
11th
Algebra 2, Graphing, PreCalculus
Composite Functions Activity
This is an interactive activity I use each year to teach kids how to work composite functions. With it students will work through an interactive and collaborate activity involving function notation, and only function notation. It is designed to 'trick' the students into actually completing a composite function without them knowing. (Just like how you have to trick kids into eating veggies :D ). After each student should have a good basic working understanding of composite functions (Of course ex
10th - 12th
Algebra 2, Math, PreCalculus
Piecewise Function Fun
This one-day lesson is good for early exploration of the piecewise function and how to obtain the graph of a piecewise function. Concepts such as domain and range and function notation are strengthened or assessed depending upon the learner. It is an activity which leads the learner step-by-step with group work possible and concludes with a whole-class discussion summary.
10th - 12th
Algebra 2, Graphing, PreCalculus
Inverse Functions Guided Notes with Tables, Graphs, Equations, and Composition
Inverse Functions Guided Notes | Editable Lesson for Algebra 2Make teaching inverse functions simple and engaging with these editable guided notes designed for Algebra 2 students. This four-page resource introduces students to the concept of inverses using multiple representations— tables of values, graphs, equations, and function notation—so they can build a deep and lasting understanding. This Inverse Functions lesson begins with an introduction to function inverses and notation, helping
10th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-REI.D.10
, HSF-BF.A.1c
, HSF-BF.B.4
+2
Showing 1-24 of 32+ results
TPT is the largest marketplace for PreK-12 resources, powered by a community of educators.
IXL family of brands