Teach Engineering
Coordinates and the Cartesian Plane
The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second lesson plan in a series of nine....
Curated OER
Relations and Functions
In this Algebra II activity, 11th graders identify the domain and range of a relation and determine if the given relation is a function. The three page activity contains explanation and eighteen practice problems. Answers are...
Curated OER
Worksheet 30 Spring 1996
In 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.
Curated OER
Trigonometry: Worksheet for Test #4
In this trigonometry worksheet, students determine whether given mappings are functions. They evaluate 5 functions for a given x value. Students graph 2 functions. They determine which ordered pairs are solutions to given functions....
Curated OER
Functions
Students explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.
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Worksheet 11
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.
Curated OER
Chapter 5 - Objective 5.1 Linear Equations
In this linear equations learning exercise, students graph linear equations and identify the domain and range of each function. This one-page learning exercise contains five problems.
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Chapter 7 Review: Radical Notation
For this radical notation worksheet, students write expressions using rational exponent notation and evaluate expressions with radical notation. They find the inverse of a function and give the domain. This three-page worksheet contains...
Curated OER
Algebra 1
Young scholars study the functional relationships of a variety of problems. In this functional relationship lesson, students determine the dependent and independent quantities of a given set of data. Young scholars record the...
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Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
Radford University
“FUN-ctions” Find the Equation of a Scream
Take a function along for a ride. Given the graph of a roller coaster track, pupils determine key features of the graph such as the maximum, minimum, intervals of increase and decrease, and roots. They figure out the equation of the...
Curated OER
Graphing Square Root and Other Radical Functions
In this worksheet, students graph the square root and other radical functions by examining the parent function and the translations and shifts that occur within the function family. The two page worksheet contains twelve problems.
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Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra instructional activity, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
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Challenge Discussion Sheet 1: Function
In this function discussion sheet, students determine the domain and range of each function and sketch the graph of each. They determine limits of given functions. This one-page worksheet contains thirteen problems.
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Graphs of Functions
In this graphs of functions worksheet, 9th graders solve and complete 3 different types of problems. First, they graph function f given by the functions shown on the grid. Then, students find the inverse of a function including its...
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Chapter 10-Relations and Functions, Practice Test
In this intermediate algebra learning exercise, students solve 20 multiple choice problems. Problems range from finding the domain and range of a function to identifying the graph of an inverse of a function.
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Graph of the Tangent, cotangent, Secant, and Cosecant Functions
In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions. Students find the intercepts and any asymptotes. The seven page worksheet contains...
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Simplifying Functions
In this simplifying functions worksheet, 11th graders solve and complete 11 different types of problems. First, they simplify each function as necessary. Then, students state the vertical asymptotes, holes, horizontal asymptotes, domain...
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Exponential Decay Functions
In this exponential functions worksheet, students solve and complete 13 various types of problems. First, they state whether the table represents an exponential function or not and why. Then, students graph each function and identify its...
Curated OER
Types of Functions
Students graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...
It's About Time
Volcanic Hazards: Airborne Debris
Pupils interpret maps and graph data related to volcanic ash. Then they analyze the importance of wind speed and the dangers of the ash to both life, air temperature, and technology.
Curated OER
Worksheet 10, Functions and Inverses of Functions
In this algebra worksheet, students find the domain and range of composite functions. They use graphics from an unspecified text to create the graph of the inverse of the drawn function.
Curated OER
Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
Mt. San Antonio Collage
Quiz 1: Types of Functions
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...