Function Notation
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Programs & methods
Linear Functions Worksheet | Function Notation & Vertical Line Test | Algebra 1
Give Algebra 1 students complete, structured practice with linear functions — from identifying functions to mastering function notation. Students determine whether relations are linear functions using mappings, tables, and ordered pairs, then apply the vertical line test to graphs. From there, they work through function notation f(x): evaluating linear functions with numeric inputs, solving for x given an output, and tackling expression inputs like f(x+1) and f(2x). With 60+ problems and full an
7th - 9th
Algebra, Graphing
CCSS
8.F.A.1
, HSF-IF.A.1
, HSF-IF.A.2
Function Notation & Operations from a Graph Color by Number
This Color by Number activity has 10 practice problems that have students use a function graph to: evaluate functions for given values of xfind x given the value of the functionperform addition, subtraction, and multiplication using function valuesA full color answer key is provided. This is a great warm up, homework, or in-class practice activity. If you are interested in this activity, you might also be interested in these products of mine too! Function Notation Review GameFunction Notation SA
8th - 10th
Algebra, Graphing
Evaluating Functions Using Function Notation Notes
Strengthen your students’ understanding of function notation with this clear and engaging Evaluating Functions worksheet! Perfect for Algebra 1 and Pre‑Algebra, this resource helps students practice evaluating f(x), finding inputs from outputs, and interpreting function values from graphs. Includes guided examples, varied practice problems, and graph‑based questions—ideal for classwork, homework, warm‑ups, or review. Print‑ready and classroom‑friendly!
8th - 11th
Algebra, Algebra 2, Graphing
CCSS
HSF-IF.A.1
, HSF-IF.A.2
Interpreting Function Notation in Graphs | Boom Cards™ | Compare Function Values
Help your students strengthen their understanding of function notation by connecting it to graphical representations with this interactive Boom Cards™ deck! Help your students strengthen their understanding of function notation by interpreting and comparing values directly from graphs with this interactive Boom Card™ activity! Students are shown real-world function graphs and asked to click on all statements that are true. This activity helps them connect inputs and outputs to visual dat
8th - 10th
Algebra, Graphing
CCSS
8.F.A.1
, 8.F.A.2
, 8.F.B.5
+2
Interpreting Function Notation in Graphs | Google Slides™
Help your students strengthen their understanding of function notation by interpreting and comparing values directly from graphs with this interactive Google Slides™ activity! Students are shown real-world function graphs and asked to click on all statements that are true. This activity helps them connect inputs and outputs to visual data, promoting a deeper understanding of how to analyze and interpret functions graphically.Perfect for introducing, reviewing, or reinforcing function nota
8th - 10th
Algebra, Graphing
CCSS
8.F.A.1
, 8.F.A.2
, 8.F.B.5
+2
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
Evaluating Functions and Function Notation Worksheet Packet Math Skill Trainers
Math Skill Trainers: Evaluating Functions, Function Notation, & Composition of Functions (PDF Packet Version) Looking for a way for students to master evaluating functions, using function notation, solving compositions of functions, and more? You've found the right activity! What is a math skill trainer?- A variety of worksheets or activities on a designated topic designed to help students master skills. How can I use this resource?Use this resources as: - practice worksheets (in class or as h
6th - 10th
Algebra, Graphing, Math
Also included in: Math Skill Trainers GROWING BUNDLE
Slope-Intercept Form & Function Notation Comprehensive Notes and Worksheet
Elevate your Pre-Algebra or Algebra class with my ready-to-go notes and worksheet lesson on slope-intercept form and function notation! This comprehensive resource begins with engaging examples that help students graph lines in slope-intercept form and determine corresponding y-values from given x-values, reinforcing the concept of finding points on a line. Students will then write an equation to a provided line and evaluate the equation with given x-values, further solidifying their understandi
7th - 9th
Algebra, Graphing, Math
CCSS
8.EE.B.5
, 8.EE.B.6
, 7.RP.A.2d
+2
Also included in: Forms of Lines Unit Bundle
Review Function Notation, Graphing, and X- and Y- Intercepts
This is a note sheet/worksheet for teacher led demonstrations and student notes/assessment that reviews function notation (finding range values when given domain), graphing using x,y tables or slope-intercept form, solving equations into slope-intercept form, and identifying/finding slope when given two points or an equation of a line.
This packet is designed to allow teachers to lead students through a review of graphing while assessing student understanding. The last two pages are for collabo
9th - 11th
Algebra, Algebra 2, Graphing
CCSS
HSF-IF.A.1
, HSF-BF.A.1
Algebra 1 - 4.3 Write a Linear Function Using Function Notation From a Graph
This worksheet is part of an accelerated course designed to teach all of the eighth grade mathematical standards and all of the high school Algebra 1 standards in one school year. Students should have demonstrated mastery of all seventh grade standards prior to admittance, but enrollment in a seventh grade accelerated math program is absolutely not required for success. The problems are in order from easy for most to challenging for all. Answers are not included. Those are intended to be provide
8th - 9th
Algebra, Graphing, Math
CCSS
8.EE.B.5
, 8.EE.B.6
, 8.F.A.1
+13
Also included in: Algebra 1 - Unit 4 Real-World Functions
Function Notation & Graphing Worksheet
This worksheet is designed for students to practice skills in function notation, as well as graphing functions.
7th - 12th, Adult Education, Higher Education
Algebra, Graphing, Math
Algebra 1 - 4.3 Write a Linear Function Using Function Notation Classwork
This IN-CLASS WORKSHEET accompanies Algebra 1 Lesson 4.3 Write a Linear Function Using Function Notation From a Graph. Unit 4 - Real World Linear Functions4.1 Functions versus Relations (in-class worksheet) 4.2 Write and Plot Real World Functions (in-class worksheet) 4.3 Write a Linear Function Using Function Notation From a Graph (worksheet) 4.4 Use Scatter Plots to Write Functions (in-class worksheet) 4.5 Real-World Systems of Equations (in-class worksheet) 4.6 Distance versus Time Graphs - Da
8th - 9th
Algebra, Graphing, Math
CCSS
8.EE.B.5
, 8.EE.B.6
, 8.F.A.1
+13
Also included in: Algebra 1 - Unit 4 Real-World Functions
Function Transformations Mastery Bundle | Algebra 2 & Precalculus Practice
Mastering function transformations is the "bridge" between Algebra 2 and Precalculus. This 3-resource bundle provides a complete, scaffolded pathway for students to move from basic vertical shifts to complex, multi-step transformations of advanced functions. High-Quality Visuals & Professional FormattingStop using resources with blurry, hand-drawn graphs or cluttered layouts. Every page in this bundle features high-definition coordinate planes and crisp mathematical notation. The clean, profe
12th
Graphing, Math Test Prep, PreCalculus
Domain & Range Worksheet | Coordinate Plane, Relations & Functions | Algebra 1
Domain and range worksheet for Algebra 1 — this complete lesson covers the coordinate plane, relations, and an introduction to functions. Students practice plotting ordered pairs, naming quadrants, reading mapping diagrams, and finding domain and range from multiple representations. Discrete versus continuous relations and interval notation are also included. With 66 total problems — including real-world word problems and SAT-style challenge questions — this resource comes with student guided no
6th - 9th
Algebra, Graphing
CCSS
6.NS.C.6
, 6.NS.C.8
, 8.F.A.1
+2
Function Transformations - Guided Notes & Homework
* Download the preview for details! *
This 2-day lesson includes 6 pages of guided notes, a 2-page assignment, a 3-page assignment, and a Function Transformations Graphic Organizer
* The main goal for this lesson is to get students to understand that something such as “f(x+3)” is not just some notation we came up with, but that it actually creates a graph that "shifts f(x) left 3 units" and so on. They do not need to have any prior knowledge of polynomial, cubic, or radical functions.
Stude
7th - 12th
Algebra, Algebra 2, Graphing
CCSS
HSF-BF.B.3
Linear vs. Nonlinear Functions | 8.F.3 | 2 Worksheets + Keys
Linear and Nonlinear FunctionsUse these two worksheets to quickly gauge students' understanding of linear and nonlinear functions. This worksheet set includes two worksheets that require students to determine if a function is linear using a table, graph, and equation. For ease of grading, an answer key is included. Terms of Use:This purchase includes a license for one teacher only for use in their own classroom. Licenses are non-transferable. Do not share this resource with colleagues or use
7th - 9th
Algebra, Graphing, Other (Math)
CCSS
8.F.A.3
Also included in: Functions: BUNDLE - Notes, Worksheets, Activities, Keys
Intro to Translations (shifts) of functions, a lesson and 4 assignments for PWP
Update: 9/13/18 I added Assignment A Included in this zip folder are 6 Power Point files. 1 is an introductory lesson, 4 are assignments and 1 is a printable reference. Assignment #4 is on the Socrative platform at Socrative.com. The share number is included in the Assignment #4 file. The Intro lesson is a 29 slide file. It is a lesson on shifts in functional notation. It is emphasized how a plus(+) differs horizontally and vertically in y=x^2. In this investigation is a table of values and
8th - 11th
Algebra, Algebra 2, Graphing
Absolute Value Function Notes and Practice (including Transformations)
This is a double-sided page over the Absolute Value Function with notes and examples on one side and practice on the other. The notes begin by defining the absolute value notation and working a few examples as a reminder. Next, a table of values is made and the absolute value function is graphed. Also, domain, range and symmetry are determined. Finally, 3 examples are graphed. Students are encouraged to make a table of values and then decide what transformations occurred. Domain and range are
8th - 12th
Algebra, Algebra 2, Graphing
Also included in: Algebra 2 Curriculum - Texas TEKS Aligned
Intro to Translations (shifts) of functions, a lesson and 5 assignments for PDF
Update I added Intro #2 which has a YouTube link and an accompanying socrative quiz. Update I added Graphs of 5 Common Functions Assignment #1E Update I added Assignment A Included in this zip folder are 6 PDF files. 1 is an introductory lesson, 4 are assignments and 1 is a printable reference. Assignment #4 is on the Socrative platform at Socrative.com. The share number is included in the Assignment #4 file. The Intro lesson is a 29 page file. It is a lesson on shifts in functional notati
8th - 11th
Algebra, Algebra 2, Graphing
Features of Graphs Board Practice or Worksheets
Features of Function Graphs — 4 Full-Page Practice Problems (Interval & Inequality Notation Versions!)Give your students clear, structured practice analyzing continuous function graphs with this set of 4 full-page problems—perfect for vertical whiteboards, collaborative group work, or traditional worksheet use. Each problem asks students to identify essential graph features, including x- and y-intercepts, maximums, minimums, domain, range, increasing & decreasing intervals, and end behavio
7th - 10th
Algebra, Graphing
Also included in: Features of Graphs Bundle
Characteristics of Graphs Notes/Practice | Domain/Range, Intervals, End Behavior
This resource helps students analyze functions and identify domain & range, increasing & decreasing intervals, positive & negative intervals, end behavior, and average rate of change!6 Pages of guided notes with built-in practice + 2 additional pages of practice The notes require students to color-code examples to connect graph behavior to interval notationThe warm-up uses the idea of an ant walking up and down anthills to introduce the concept of increasing/decreasing and positive/negative inte
8th - 11th
Algebra, Graphing
CCSS
HSF-IF.B.4
, HSF-IF.B.6
, HSF-IF.C.7
8th Grade Math Spiral Review
This spiral review includes: solving system of equationsscientific notationssolving equationssimplifying equationsevaluating functionsPythagorean theoremreflecting points in a gridfinding slope of a linefinding distance between two pointsrotating points in a gridfinding volume of cubefinding volume of cylindertranslating points in a gridfinding volume of rectangular prismand more!Check out the thumbnails to see how this set can benefit your classroom and the broad variety of problems included. T
8th - 12th
Algebra, Graphing, Math Test Prep
Compositions of Rigid Motions
These exercises are compositions of rigid motions. All transformations are presented in function notation per common core standards. There are 3 pairs of commuted compositions. The students will be able to see that compositions of transformations are not commutative - order matters. The reflections are all presented in slope-intercept form.
9th - 12th
Geometry, Graphing
CCSS
HSG-CO.A.2
Evaluating Functions Digital Activity
Are you looking for a quick, no prep activity for your students to practice evaluating functions using function notation? This matching activity gives students the opportunity to practice evaluating a function when given the x-value as well as solving for x. As students work through the google sheets version the box turns green to let them know they have matched correctly or red to know their match is incorrect. ⭐️ SHOP ALL MATCHING ACTIVITIES ⭐️ Included:Printable PDF worksheet (2 versio
8th - 10th
Algebra, Graphing, Math
CCSS
HSF-IF.A.2
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