Function Notation
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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
Graphs and function notation
The lecture includes topics: graphs of line, function notation. It can be used as review or as a lesson to introduce function notation. The examples are practical and last one is real life application of using graphs and functions. In general, it gives overview of graphs and functions as special kind of relations.
In case students are confused how to determine is relation a function or not, I suggest the following approach.
Let consider each element of domain represent a child and each element
9th - 12th, Higher Education
Algebra, Algebra 2, Graphing
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
Math 1/Alg 1 Assess/Practice Test- Unit 4 Exponential Fcts & Scientific Notation
This MS Word file is a Math 1/Algebra 1 Assessment / Practice Test for: Unit 4 - Exponential Functions and Scientific Notation It consists of fifteen (15) questions and two (2) extra credit item. I used to use this document as my assessment for Unit 4 of my 8th Grade, Math 1 and Algebra 1 classes. Since I now use an online program for all of my math assessments, I now use this document as a practice test the day before I give the online assessment. It is twelve (12) pages in length, includ
7th - 10th
Graphing, Math, Math Test Prep
CCSS
HSF-LE.A.1c
, HSF-LE.A.2
, HSF-LE.A.4
Also included in: Math 1/Algebra 1 Assessment/Practice Tests - Units 1-10 Bundle
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
Functions Test
This CCSS-aligned Algebra 2 test covers linear and quadratic functions, including domain and range, matching functions to their graphs, and word problems involving function notation. The test has 25 multiple choice and short response questions, and is timed for a 60 minute class. Answer key is included. All student work is recorded on a single page for easy grading :) CCSS alignment is included at the end of the answer key. Consistent with Pearson Algebra 2 Chapter 1 content. Editable
8th - 12th
Algebra, Algebra 2, Graphing
Linear Functions Performance Task
After learning to identify slope and y-intercept from a table, graph, and equation, students will use these new skills, as well as their knowledge of function notation to create linear functions, their table of values, and graphs. Students will then choose one function and write a story or situation that can be modeled by the function. Students can decorate their graphs for added aesthetics. This performance task is great for bulletin boards, as well as an alternative assessment. Th
8th - 10th
Algebra, Graphing, Math
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.5
+2
Sorting Quadratic & Linear Equations
This is a performance task style activity for Algebra 1 students. They must match multiple representations of quadratic & linear functions. Students will also need to use both equation notation and function notation.
9th - 10th
Algebra, Graphing
CCSS
HSF-IF.C.7
, HSF-IF.C.9
Interpreting Functions - Assignment
Assignment checking the ability to find domain, range, and values in each when given a set of coordinates, a function map, a table, and a graph. Values are written using function notation, as in find f(3) or find x when f(x) = 0, and students must also determine if the set, map, table, or graph are functions by checking for a repeating domain value or using the vertical line test. Students must also express a set of values using multiple representations, such as writing a set of coordinates in a
7th - 12th, Adult Education, Higher Education
Algebra, Graphing
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
Interpreting Functions - Notes
Guided notes teaching students how to find domain, range, and values in each when given a set of coordinates, a function map, a table, and a graph. Values are written using function notation, as in find f(3) or find x when f(x) = 0, and students must also determine if the set, map, table, or graph are functions by checking for a repeating domain value or using the vertical line test. The performance question at the end has students express a set of values using multiple representations, such as
7th - 12th, Adult Education, Higher Education
Algebra, Graphing
Algebra 1 - 4.1 Functions versus Relations Classwork
This IN-CLASS WORKSHEET accompanies Algebra 1 Lesson 4.1 Functions versus Relations. 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 - Day 1 (in-class worksheet) 4.7 Dista
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
Understanding Even and Odd Polynomial Functions
Students learn math concepts best when discovering mathematical patterns on their own rather than being told by the teacher. This activity is designed to have the students discover when a polynomial function is even or odd Prerequisites 1. Students have learned the basics of functions 2. Students have learned functional notation 3. Students have been introduced to polynomial functions 4. Students know how to graph a function by hand given a table of values The Process Students are presented wit
10th - 12th
Algebra 2, Graphing
Algebra 1 - Review Unit 4 Real World Functions Classwork
This IN-CLASS WORKSHEET accompanies Algebra 1 Lesson Review Unit 4 Real World Functions. 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 - Day 1 (in-class worksheet) 4.7 D
8th - 9th
Algebra, Graphing, Statistics
CCSS
8.EE.B.5
, 8.EE.B.6
, 8.F.A.1
+13
Also included in: Algebra 1 - Unit 4 Real-World Functions
Algebra 1 - 4.8 Analyzing Lines of Best Fit Classwork
This IN-CLASS WORKSHEET accompanies Algebra 1 Lesson 4.8 Analyzing Lines of Best Fit. 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 - Day 1 (in-class worksheet) 4.7 Dist
8th - 9th
Algebra, Graphing, Statistics
CCSS
8.EE.B.5
, 8.EE.B.6
, 8.F.A.1
+13
Also included in: Algebra 1 - Unit 4 Real-World Functions
Algebra 1 - 4.4 Use Scatter Plots to Write Functions Classwork
This IN-CLASS WORKSHEET accompanies Algebra 1 Lesson 4.4 Use Scatter Plots to Write Functions. 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 - Day 1 (in-class worksheet)
8th - 9th
Algebra, Graphing, Statistics
CCSS
8.EE.B.5
, 8.EE.B.6
, 8.F.A.1
+13
Also included in: Algebra 1 - Unit 4 Real-World Functions
Algebra 1 - 4.6 Distance versus Time Graphs Day 1 Classwork
This IN-CLASS WORKSHEET accompanies Algebra 1 Lesson 4.6 Distance versus Time Graphs Day 1. 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 - Day 1 (in-class worksheet) 4.
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
Algebra 1 - 4.5 Graph Real World Systems of Equations Classwork
This IN-CLASS WORKSHEET accompanies Algebra 1 Lesson 4.5 Graph Real World Systems of Equations. 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 - Day 1 (in-class worksheet
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
Algebra 1 - 4.7 Distance versus Time Graphs Day 2 Classwork
This IN-CLASS WORKSHEET accompanies Algebra 1 Lesson 4.7 Distance versus Time Graphs Day 2. 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 - Day 1 (in-class worksheet) 4.
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
Algebra 1 - 4.2 Write and Plot Real World Functions Classwork
This IN-CLASS WORKSHEET accompanies Algebra 1 Lesson 4.2 Write and Plot Real World Functions. 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 - Day 1 (in-class worksheet)
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
Graphing Polynomial Functions in Factored Form - A Discovery Exercise
Students learn math concepts best when discovering mathematical patterns on their own rather than being told by the teacher. This activity is designed for students to discover how to graph polynomials in factored form. It covers quadratic, cubic, and quartic polynomial functions Prerequisites 1. Students have learned the basics of functions 2. Students have learned functional notation 3. Students have been introduced to polynomial functions 4. Students know how to graph a function by hand given
9th - 10th
Graphing
Exploring the Graphs of Exponential Functions
Students learn math concepts best when discovering mathematical patterns on their own rather than being told by the teacher. This activity is designed to have the students discover how changing the equation of an exponential function changes its graph into a growth or decaying exponential function. Prerequisites 1. Students have learned the basics of functions 2. Students have learned functional notation 3. Students know how to graph a function by hand given a table of values 4.. Students h
10th - 12th
Graphing
Sound Check — 8th Grade Functions Escape Room (8.F)
Your students will love the music studio theme in this 8th grade functions escape room! Someone has scrambled the Apex Records digital audio system using function puzzles — and only a student who understands functions can unlock the master release code. Four tracks cover the complete 8.F standard: defining and evaluating functions (including the vertical line test and function notation), comparing functions across different representations (equation, table, graph, verbal), building linear functi
8th
Algebra, Graphing, Math Test Prep
CCSS
8.F.A.1
, 8.F.A.2
, 8.F.A.3
+2
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