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Lesson Plan
Curated OER

Functions and Models - Week 2

For Teachers 11th - Higher Ed
In this function worksheet, students read word problems and write functions to solve them. They explore the domain and range of each function. This two-page worksheet contains eight story problems.
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Activity
1
1
Illustrative Mathematics

Transforming the graph of a function

For Teachers 8th - 12th Standards
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for specific values of c. The...
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Worksheet
Curated OER

Exponential Graph Functions

For Students 9th - 12th
In this exponential functions learning exercise, students solve and complete 13 various types of problems. First, they define what is different and what is the same about exponential and linear functions. Then, students write a rule for...
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Worksheet
Curated OER

Exponential Functions

For Students 7th - 8th
In this exponential functions learning exercise, students solve and complete 20 various types of problems. First, they graph the function and state the domain and range. Then, students tell whether the graph represents exponential growth...
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Worksheet
Curated OER

Calculus 30 - Typical Exam Questions

For Students 11th - 12th
In this limits and functions worksheet, students solve 30 short answer questions about calculus  Students find limits, domain, range, tangent lines, derivatives, and composition functions.
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Lesson Plan
Virginia Department of Education

Exponential Modeling

For Teachers 10th - 12th
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
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Lesson Plan
1
1
Illustrative Mathematics

Points on a Graph

For Teachers 8th - 12th Standards
Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...
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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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Worksheet
Curated OER

Calculus 30: Domain and Range

For Students 11th - 12th
In this domain and range worksheet, students find the domain and range of 23 equations. Students find the domain and range from a graph and determine a graph given the domain and range.
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Lesson Plan
Curated OER

Exercise Set 1.5: Inverse Functions

For Teachers 11th - Higher Ed
In this inverse functions worksheet, students review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the domains and...
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Worksheet
Curated OER

Function as Average

For Students 9th - 12th
In this secondary mathematics worksheet, students determine the range of the average written as a function.  The one page worksheet contains one problem with the solution.
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Worksheet
Curated OER

Rational Functions

For Students 9th - 11th
In this rational functions worksheet, students identify rational functions.  They find the domain and range of each function.  Students find the x and y-intercepts of functions.  This two-page worksheet contains 35 multip-step problems.
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Worksheet
Curated OER

Graphs of Functions

For Students 11th
In this algebra worksheet, 11th graders calculate the domain, range, asymptote and intercepts of a quadratic function. They sketch the graph and identify the transformation. There are 4 questions in this worksheet.
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Lesson Plan
Virginia Department of Education

Logarithmic Modeling

For Teachers 10th - 12th
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
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Lesson Plan
West Contra Costa Unified School District

Key Features of Graphs

For Teachers 9th - 11th Standards
The key is ... After a day of instruction on key features of graphs, groups create a poster and presentation on the key features of their given function graph. The resource provides an extension activity of "telephone" using graphs.
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Worksheet
Curated OER

Functions Quiz

For Students 11th - Higher Ed
In this college level algebra worksheet, pupils determine the domain and range of a function, determine the average rate of change given an interval and the function, and graph a polynomial function. The two-page worksheet contains four...
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Lesson Plan
Curated OER

Exponential Equations and Functions

For Teachers Higher Ed
In this college level Pre-Calculus worksheet, students solve problems involving exponential functions.  Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains seventy...
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Worksheet
Curated OER

Functions and Their Graphs

For Students 8th - 11th Standards
Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test.  However, the problems are pretty basic. A...
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Worksheet
Curated OER

Discussion Sheet 6: Doman & Range

For Students Higher Ed
In this domain and range worksheet, students determine the domain, range, x and y-intercepts, vertical, horizontal and asymptotes for a function. They write a formula for a function for given properties. Students read story problems...
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Lesson Plan
Virginia Department of Education

Linear Modeling

For Teachers 8th - 11th Standards
An inquiry-based algebra instructional activity explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...
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Lesson Plan
1
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West Contra Costa Unified School District

Introduction to Logarithms

For Teachers 9th - 12th Standards
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
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Lesson Plan
Curated OER

Regents Exam Questions: Domain and Range 1

For Teachers 9th - 10th
In this domain and range worksheet, students examine functions and identify the range of a function.  They find the maximum and minimum value of a function.  This two-page worksheet contains 7 multiple-choice problems.  Answers are...
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Worksheet
Curated OER

Chapter 7. Functions and Graphs

For Students 9th - 11th
In this functions and graphs worksheet, students determine the domain and range of a given relation.  They graph functions on a coordinate plane and write equations in the slope-intercept form.  This twelve page worksheet contains 30...
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Worksheet
Curated OER

Graphing Functions

For Students 11th
In this graphing functions worksheet, 11th graders solve and complete 10 different types of problems. First, they graph each function and list the asymptote, domain and range for each. Then, students sketch each graph. They also draw and...