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Illustrative Mathematics
Transforming the graph of a function
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...
Intel
Choreographing Math
Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...
EngageNY
Graphing Quadratic Functions from the Standard Form
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...
Curated OER
Graphs of Functions
For 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.
Curated OER
Functions
In this functions instructional activity, students determine whether a correspondence is a function. They graph given functions. Students examine graphs and identify functions. This two-page instructional activity contains 22 problems.
Curated OER
Finding Domain and Range
In this domain worksheet, students study graphs of equations and determine the domain and range of each one. Afterwards, they solve equations to find the domain. There are 15 problems on this one-page worksheet.
Curated OER
Reviewing Functions
In this function worksheet, students describe a function and write six different ways a function may be modeled. This two-page worksheet contains eight problems.
Curated OER
Inverse Trig Functions: Domain and Range
In this trigonometric functions activity, students calculate the domain and range of the three basic trig functions. There are 6 equations.
Curated OER
Functions of Two Variables
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
Curated OER
How Alike Are We?
Fourth graders find the range, mode, median, and mean for each of the data sets (height and shoe size). They discuss which measure of central tendency for each data set best represents the class and why. Students graph the shoe size and...
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....
CPM
Tables, Equations, and Graphs
Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...
Illustrative Mathematics
Invertible or Not?
Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...
Howard County Schools
Drawing Inverses
An Algebra II lesson plan draws the connection between the exponential function and its inverse. By graphing an exponential function and using tables and a calculator, students graph the logarithmic function. The plan comes with a...
Curated OER
Relations and Functions
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...
Curated OER
Composition of Functions and the Chain Rule
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...
Curated OER
Functions and Models - Week 2
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.
Curated OER
Functions
In this functions worksheet, 11th graders solve 10 different problems that include various functions of domain. First, they determine the domain of a given function. Then, students determine the range of another function. They also...
Curated OER
Calculus Worksheet: Limits of Functions (1)
Students sketch the graph of 4 functions and define the domain and range of each.
Curated OER
Eight Multiple Choice Domain and Range of Functions Problems
In this function worksheet, students determine domains and ranges in eight multiple choice problems. The solutions are provided.
Curated OER
Functions / Domain
Pupils identify and define what a function is and how to identify them and relations. They also use functional notation to compute the values of composite functions. Finally, students determine the domain and range of a given function.
Curated OER
Domain and Range
For this domain and range worksheet, 9th graders solve and complete 3 various types of problems. First, they find the domain of each function shown. Then, students find the range for each function. They also find the domain and range of...
Curated OER
Topic 2.1 - Relations and Functions
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.
Curated OER
Relations and Functions
In this relations and functions worksheet, students answer 5 multiple choice questions that involve finding domain and range and function notation.