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Composition of Functions and the Chain Rule
In this function learning exercise, 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 learning...
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Profitable Soda Stand
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
Houston Area Calculus Teachers
Polynomial Graphing
Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...
West Contra Costa Unified School District
Key Features of Graphs
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...
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Regents Exam Questions: Domain and Range 1
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. ...
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Chapter 7. Functions and Graphs
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...
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Domain and Range
In this domain and range worksheet, learners solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is odd, even or...
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Graphing Functions
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...
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Graphs of Functions
In this graphs of functions worksheet, students identify the domain and range of a function. They determine the vertical horizontal asymptote and find the y and x intercepts. Students sketch a graph of the function. This one-page...
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Easy Worksheet: Domain and Range
In this domain and range worksheet, students solve 4 short answer problems. Students find the domain and range of various functions given an equation, table of values, or graph.
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Function as Average
In this secondary mathematics worksheet, high schoolers determine the range of the average written as a function. The one page worksheet contains one problem with the solution.
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Rational Functions
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...
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Cell Phone Range
Here is a 15 minute activity that can be used as review, a warm, or as a quick example of how to relate functions to the real world. Learners complete an application activity and draw conclusion about functions then discuss open and...
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Domain and Range
In this domain and range instructional activity, 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...
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Complex Analysis: Function
In this function instructional activity, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page instructional activity contains approximately twelve...
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Linear Functions
Students solve and graph linear equations. In this algebra lesson plan, students collect data and plot it to create a linear function. They identify the domain and range of each line.
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Functions Quiz
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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Calculus 30 - Typical Exam Questions
In this limits and functions activity, students solve 30 short answer questions about calculus Students find limits, domain, range, tangent lines, derivatives, and composition functions.
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Mathematical Modeling
Study various types of mathematical models in this math instructional activity. 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,...
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Discussion Sheet 6: Doman & Range
In this domain and range instructional activity, 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...
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Relations
In this relations learning exercise, 10th graders solve and complete 7 different problems that include defining various relations of number sets. First, they state the domain and range of each relation. Then, students express the...
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Relations
In this relations worksheet, 10th graders solve and complete 10 different problems that include defining various forms of relations. First, they state the domain and range of each relation. Then, students express the relation shown in...
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Trig Cheat Sheet
Your pre-calculus learners will make use of this wonderful cheat sheet that summarizes all things trigonometric. Definitions based on both the unit circle and the right triangle are included, as well as many convenient trigonometric...
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Quadratic Equations and Functions
Pupils factor and solve quadratic equations. In this algebra lesson plan, students identify the domain and range of the quadratic function. They graph the parabola and identify the vertex.