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Function and Graphs
In this college level Pre-Calculus worksheet, students determine if a given relation is a function, graph functions and observe their behavior, and determine if a function is even, odd, both, or neither. The four page worksheet contains...
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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 learning exercise contains thirteen problems.
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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...
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Inverse Functions
In this inverse functions worksheet, students find the inverse of each given function. This one-page worksheet contains 3 problems.
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Discussion Sheet 2: Domain and Range
In this domain and range worksheet, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page worksheet contains...
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Graphing Radical Functions-A Graphic Introduction
In this Algebra II worksheet, 11th graders graph root functions and analyze the domain, range, intercepts, maximum and minimum values, and end behavior. students use that information to transform the graphs of root functions. The three...
Embedded Math
Trig Graph
You and your learners will enjoy having many copies of this trigonometric graph set on the Cartesian coordinate grid with a domain running from -360 degrees to 360 degrees and a range running from -2 to 2.
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The Random Walk
Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on their...
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 specific values of c. The...
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...
EngageNY
Algebra II Module 2: Mid-Module Assessment
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
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Domain and Range
Your class will grasp the concept of domain-and range on a graph by using their TI navigator to graph their lines. They observe the effect of a function and non-functions based on the domain and range.
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Domain and Range of Exponential Functions
Have your class find the domain and range for each function. Students graph equations using the TI. They find all the x and y values as they relate to the domain and range.
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Domain and Range 2
How do you identify the domain and range of the function? As learners find out it's as easy as creating a graph. They'll identify the domain and range of a relation from its graph, write symbolic expressions describing the relationship...
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Application of Function Composition
Young mathematicians solve composition of functions. They add, subtract, multiply and divide functions and then identify the domain and range of each function. An embedded animation shows three different applications of function...
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The Energy of Empty Space
In this energy in empty space worksheet, high schoolers use an equation for Cosmic Inflation to solve eight problems. They find the domain and range of the function of the equation, they determinethe axis of symmetry, they find the...
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Graphic Designing with Transformed Functions
Teach your class how to transform a graph! By identifying the domain and range of the functions, learners can observe the parabola and find the vertex of the transformed graph.
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Graphs of Functions
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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Graphing Logarithms
In this logarithms learning exercise, students identify the domain and range of given logarithms. They sketch the graph on a coordinate plane. This four-page learning exercise contains 12 multi-step problems. Answers are provided on the...
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Functions and Relations
For this algebra worksheet, students calculate the solution to a function using substitution. They determine if a relation is a function or not. There are 34 questions on this test about Functions.
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Functions
In this functions worksheet, students determine whether a correspondence is a function. They graph given functions. Students examine graphs and identify functions. This two-page worksheet contains 22 problems.
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Domain of a Function
In this precalculus worksheet, students examine and determine the domain of the three functions provided and apply them to the three problems.
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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.
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