Function Notation
55+ results
Filters
Grade
Subject
Resource type
Standard
Programs & methods
Domain and Range of Polynomials Functions Interval Notation
This is an amazing double sided worksheet on Domain and Range of Polynomial functions. Students always have trouble with Domain and range, and so I designed this worksheet to help them. It really will send the concept home. After they complete this, I promise they will understand domain and range like never before. This is by far the best worksheet for Domain and Range. It usually takes 40-55 minutes to complete. Look at all the positive feedback/ratings. There is an answer key included.
9th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
Find the Domain and Range from the graph of a function
Finding the domain and Range from the graph of a given function is one of the important standard in Algebra 2 EOC. This easy to print worksheet/printable(PDF) of 4 pages contains graphs of twelve functions and space given for writing Domain and Range for each graph. Answer key (last two pages) is provided with answers given in both inequality and interval notation. It can be assigned as a homework, classwork activity, as a quiz or test. This set of questions consist pf both simple and com
8th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
12th Grade Calculus - Unit 1: Functions, Limits, and Continuity
12th Grade Calculus USA High School Calculus This resource includes:-11 Presentations -11 Worksheets with Solutions -1 Reference Sheet -1 Unit Test with Solutions Unit 1 – Functions, Limits & Continuity1.1 Review of functions & graphs (domain, range, intercepts, basic families) 1.2 Average rate of change and secant lines 1.3 Intuitive idea of a limit from graphs and tables 1.4 One-sided limits and when limits do not exist 1.5 Limit notation and basic limit laws (sum, difference, product, quotie
12th
Calculus
Also included in: 12th Grade Calculus - Full Course Curriculum
British Columbia Grade 12 Calculus - Unit 4: Integrals: meaning, notation, metho
British Columbia Grade 12 Calculus BC Grade 12 Calculus This resource includes: -One Presentation for each section -One Worksheet set with solutions for each section -One Reference Sheet for the Unit -One Unit Test with Solutions for the Unit Unit 4 — All about Integrals: meaning, notation, and methods of integration4.1 Definition/meaning of an integral4.2 Integral notation4.3 Indefinite vs definite integrals 4.4 Fundamental Theorem of Calculus (connecting derivatives and integrals) 4.5 Rie
12th
Calculus
Also included in: British Columbia Grade 12 Calculus - Full Course Curriculum
Comparing Exponential Functions – Algebra 2 Notes, Practice, Video Support & Key
📐 Algebra 2: Comparing Exponential Functions Advanced Practice, Notes, Video Support & Answer Keys This resource is designed for higher-level high school Algebra students and focuses on deep conceptual understanding of exponential functions. Students analyze how exponential functions compare to their parent functions, evaluate transformations, determine intersections, and reason about long-term behavior. Lessons emphasize mathematical justification, not just computation. Students explain how c
10th - 12th
Algebra, Algebra 2, Calculus
Riemann Sums & Sigma Notation Practice Pack (AP Calc AB)
Make Riemann sums predictable and test-ready with this Grade 12 / AP Calculus AB practice pack. Students build accuracy step-by-step: first computing Left, Right, and Midpoint sums from tables, then doing the same from graphs (with estimation and reasoning about over/underestimates). From there, they learn the skill that usually causes confusion— writing Riemann sums in sigma notation by generating (\Delta x), endpoints, and midpoints correctly. The pack also includes two high-value conceptu
12th
Algebra 2, Calculus, Math Test Prep
Limits of Functions Mixed Review for First-Year Calculus Students
Build precise limit skills with a print-and-assign packet for Grades 11–12, AP Calculus AB/BC, and first-semester Calculus I. The set delivers 12 chapters and 240 exercises with a full answer key, sequenced from intuition to proof-style reasoning. What’s Inside • Intuitive limits from tables, graphs, and notation • One-sided limits and piecewise continuity • Direct substitution and continuity at a point • Limit Laws with structured justification • Algebraic techniques: factoring and complex
11th - 12th
Algebra, Algebra 2, Calculus
Complete Limits of Functions Practice Workbook with Detailed Answer Key
Build rigorous limit skills with a print-and-assign packet designed for Grades 11–12 Honors, AP Calculus AB/BC, and College Calculus I. Students move from intuition and notation to one-sided limits, continuity, algebraic techniques, trigonometric limits, squeeze arguments, infinite limits, and end behavior—then synthesize everything in mixed challenges. Includes a complete answer key for every problem and clean, classroom-ready formatting. What’s Inside • 12 chapters, 240 exercises, full soluti
11th - 12th
Algebra, Algebra 2, Calculus
Limits of Functions Practice for University and AP Calculus Courses
Build precise limit skills with a print-and-assign packet designed for Grades 11–12 Honors, AP Calculus AB/BC, and first-semester Calculus I. Students move from intuition to proof-style reasoning across 12 focused chapters, then synthesize everything in mixed challenges. A complete answer key supports self-checking and fast grading. What’s Inside • 12 chapters, 240 exercises, full solutions • Intuitive limits from tables/graphs and formal notation • One-sided limits and piecewise continuity;
11th - 12th
Algebra, Algebra 2, Calculus
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
Pi Day Trivia Activity: Trigonometric Derivatives
Students will take the derivative of 20 trigonometric functions. The first 6 don't require the chain rule. All others require the chain rule. No other rules are needed. Multiple notations for the derivative are used.
11th - 12th
Calculus
AP Calculus: Finding the Area Under a Curve Complete Lesson
This lesson begins with a brief review of summation notation and provides students with some common summation formulas. Then, right endpoints are used to calculate the exact areas under curves with a Riemann sum. Students are given guidance to find the widths of the rectangles and the coordinates of the right endpoints. After seeing several examples, students are then given an expression involving a Riemann sum and are asked to associate it with a corresponding area. This lesson is appropriat
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB Full Curriculum
Limits - 8 exercises with graphs
These exercises are for developing an understanding of limit and function notation. Please feel free to copy/paste them into your homeworks, lessons, or assessments.
10th - 12th
Calculus, PreCalculus
Interpreting the Graph Activity for Pre-Calculus Functions Unit
It is important for students to be able to read and to write using function notation and to be able to compare two functions on a graph. This activity allows students to read statements written only in function notation and be tasked with illustrating the statement in a given graph. For the quadratic function and cosine function shown, students are asked 9 questions about f(x) and g(x), including to determine the domains on which one is greater than the other. This activity is a follow up to th
10th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.A.2
, HSF-IF.B.5
, HSF-IF.C.7
+1
Derivatives and Limits
Students use the limit definition of the derivative to translate from one type of notation to the other. Students do three things:
- Given a function and a value of c write two versions of the limit definition of f' (c) (traditional, where h --> 0, and alternative, where x --> c)
- Given the traditional limit definition of a derivative, identify the function and the value of c, and translate to the alternative limit definition.
- Given the alternative limit definition of a derivative, id
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
Calculus Summer Packet (with answer key!)
This packet is to be used for students entering Calculus. Topics include graphing functions, piecewise functions, transformations of functions, domain, writing linear equations, function notation, properties of exponents and solving exponential equations, and properties of logarithms and solving logarithmic equations.
9th - 12th
Calculus, Math, PreCalculus
EVALUATING LIMITS GIVEN A GRAPH AND MANIPULATING LIMITS WORKSHEET
This worksheet is intended for students after they have learned the following topics: 1.2 - Defining Limits and using Limit Notation 1.3 - Estimating Limit Values from Graphs 1.5 - Determining Limits Using Algebraic Properties of Limits 1.6 - Determining Limits Using Algebraic Manipulation It is perfect for a mid - unit review in Unit 1 (AP Calculus AB Course and Description). In this worksheet, I have included examples where students evaluate limits given a graph, evaluate left-hand and right-
10th - 12th, Higher Education
Calculus
Circuit Training -- Fundamental Theorem Of Calculus
Engage your students with this self-checking 12-question circuit! I wrote this circuit to help my students with the symbolic notation and easy (but my students don't think so!) computation of functions and their derivatives defined as definite integrals. Most of the problems require FTC Part I, but a few can be done with or require FTC Part II. In many ways my circuits are no prep in that all the teacher has to do is work the circuit ahead of the students to see how the idea unfolds and then
11th - 12th, Higher Education
Calculus
Derivatives - Possible Points of Inflection and Concavity
This self checking worksheet will lead the students first through finding the x-value of the PPI's, then finding the concavity using interval notation. The derivatives are easy using power rule, trig functions and chain rule. Product and quotient rules are not used. When finished, the students will find how the old really die.
11th - 12th
Calculus
Definite Integrals & FTC Mastery Workbook (AP Calc AB)
Make definite integrals feel structured (not mysterious) with this Grade 12 / AP Calculus AB workbook focused on the two big wins students need: clear notation and confident FTC use. Students start by mastering integral notation (integrand vs. limits, dummy variables, and what a definite integral represents), then build into antiderivatives and both parts of the Fundamental Theorem of Calculus—including accumulation-function reasoning and correct endpoint evaluation. The workbook is organiz
12th
Algebra 2, Calculus, Math Test Prep
Limits WORKSHEET | Limits from Graphs, Limits from Tables, Limits of Piecewise
This ready-to-go worksheet will help you check your Honors Calculus or AP Calculus students' understanding of finding limits using tables, graphing piecewise functions, and finding limits from a piecewise function.Click here to buy the complete Calculus Limits | Unit 1, which contains notes, homework, a quiz review, a quiz, a test review, and a test for your Limits unit.Bundle and save! Skip the prep and grab the Calculus Course Full Curriculum Bundle. This all-in-one resource includes a full ye
11th - 12th
Calculus, Math
Trigonometric Limits Exploration, Notes,Examples, Handouts,Assignment, & Answers
A short graphical and numerical exploration is included to help develop the trigonometric limit formulas.The introduction relies on experience with using the graphing calculator to graph a function and find limits numerically using tables.I use the TI-84 Plus CE.Occasionally I have to explain the calculator notation … means Extensions of the limits above are also included.Completely worked out examples with commentary are included.An optional handout for students is included for the exploration
11th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Limits Unit - Calculus Bundle
AP CALCULUS AB - UNIT 6 INTEGRATION REVIEW WORKSHEET (#2)
This Calculus worksheet is intended for students after they have learned the following integration concepts from Unit 6 (AP Calculus AB Course and Description). 6.3 Riemann Sums, Summation Notation, and Definite Integral Notations 6.4 The Fundamental Theorem of Calculus and Accumulation Functions 6.5 Interpreting the Behavior of Accumulation Functions Involving Area 6.6 Applying Properties of Definite Integrals 6.7 The Fundamental Theorem of Calculus and Definite Integrals 6.8 Finding Antideriva
9th - 12th, Higher Education
Calculus
AP CALCULUS AB - UNIT 6 INTEGRATION REVIEW WORKSHEET (#1)
This Calculus worksheet is intended for students after they have learned the following integration concepts from Unit 6 (AP Calculus AB Course and Description). 6.3 Riemann Sums, Summation Notation, and Definite Integral Notations 6.4 The Fundamental Theorem of Calculus and Accumulation Functions 6.5 Interpreting the Behavior of Accumulation Functions Involving Area 6.6 Applying Properties of Definite Integrals 6.7 The Fundamental Theorem of Calculus and Definite Integrals 6.8 Finding Antideriva
9th - 12th, Higher Education
Calculus
Showing 1-24 of 55+ results
TPT is the largest marketplace for PreK-12 resources, powered by a community of educators.
IXL family of brands