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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal Translations

For Students 10th - 12th Standards
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
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Lesson Plan
Alabama Learning Exchange

Building Functions: Composition of Functions

For Teachers 9th - 12th Standards
Hammer away at building different types of functions. An engaging lesson builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write composite functions from various...
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Unit Plan
Mathematics Vision Project

Module 3: Features of Functions

For Students 8th - 10th Standards
Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...
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Worksheet
2
2
Flipped Math

Unit 8 Review: Functions

For Students 9th - 10th Standards
Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...
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PPT
University of North Texas

Reading Graphs

For Students 9th - 12th Standards
There is more to the eye than just a graph on paper. The presentation shows three different piecewise graphs and asks an assortment of questions. The resource includes topics such as domain and range, intervals of increasing and...
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Worksheet
Curated OER

Calculus Worksheet: Limits of Functions (1)

For Students 11th - 12th
Students sketch the graph of 4 functions and define the domain and range of each.
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Lesson Plan
Curated OER

Domian and Range of Graphs

For Teachers 9th - 12th Standards
High schoolers determine the domain and range of various graphs using a graphing calculator. Given a set of graphs to analyze, learners calculate the range and domain of the graphs by plotting the graphs on their calculators. Downloads...
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Worksheet
Curated OER

Relations and Functions

For Students 11th
In this relations and functions worksheet, 11th graders solve and complete 10 various types of multiple choice problems. First, they use the same relation between two variables as the given table to determine the value of one variable...
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Worksheet
Curated OER

Parabolic Equations

For Students 11th - 12th
In this parabolic learning exercise, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page...
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Worksheet
Curated OER

Relations and Functions

For Students 11th
In this Algebra II worksheet, 11th graders identify the domain and range of a relation and determine if the given relation is a function.  The three page worksheet contains explanation and eighteen practice problems.  Answers are not...
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Worksheet
Curated OER

Composition of Functions and the Chain Rule

For Students Higher Ed
In this function worksheet, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page worksheet contains...
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Worksheet
Curated OER

Topic 2.1 - Relations and Functions

For Students 7th - 9th
In this function worksheet, students state the domain and range of 2 functions. They then determine whether 7 relations are functions or not. Finally, students solve 6 problems in which they find the value of a specific function.
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Unit Plan
Mathematics Vision Project

More Functions, More Features

For Teachers 10th - 12th Standards
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
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Lesson Plan
Curated OER

Functions - Intro and Inverses

For Teachers 9th - 11th
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
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Lesson Plan
Curated OER

Mathematical Modeling

For Teachers 9th - 12th
Study various types of mathematical models in this math lesson. Learners calculate the slope to determine the risk in a situation described. They respond to a number of questions and analyze their statistical data. Then, they determine...
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Worksheet
Curated OER

Operations with Functions

For Students 11th - Higher Ed
This is a very strange but fairly amazing worksheet. You plug-in the number of problems, how you'd like them arranged, and if answers should be available and click retrieve. Like magic a worksheet to your specifications pops up. This...
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Lesson Plan
Curated OER

Dog Days or Dog Years?

For Teachers 9th - 12th Standards
In need of some algebraic fun with real world implications?Learners use ordered pairs, a table of values and a scatter plot to evaluate the validity of several real world data sets. The class focuses on  dog ages in human years, domain,...
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Worksheet
Curated OER

Analyzing Data Sets

For Students 11th
In this analyzing data sets worksheet, 11th graders solve and complete 35 various types of problems that include the analysis of data given. First, they determine the equation that best describes the data shown in a table. Then, students...
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Worksheet
Curated OER

Investigating Domains

For Students 9th - 11th
In this algebra worksheet, students graph polynomials and find the domain and range by examining the graphs. There are 6 problems with graphs drawn.
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Worksheet
Curated OER

Relations and Functions

For Students 8th - 10th
In this relations and functions worksheet, students answer 5 multiple choice questions that involve finding domain and range and function notation.
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Worksheet
Curated OER

Worksheet 30 Spring 1996

For Students 11th - Higher Ed
For this math worksheet, students examine the functions for their properties to determine if they are real or not. They also graph them according to their domain and range.
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Worksheet
Curated OER

Worksheet 11

For Students 6th - 8th
In this math worksheet, middle schoolers define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
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Worksheet
Curated OER

Domain of Functions

For Students 9th - 11th
In this domain of functions learning exercise, students find the domain of given functions.  They simplify functions containing square roots and exponents.  This one-page learning exercise contains 4 problems.
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Assessment
Mt. San Antonio Collage

Test 2: Rationals, Exponentials, and Logarithms

For Students 9th - 12th Standards
Running out of logarithm questions in class? The nicely organized two-page worksheet provides practice in rational, logarithmic, and exponential functions. All the topics include graphing, solving, and finding domain and range. 

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