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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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Composition of Functions
Students solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
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Inverse Trig Functions: Domain and Range
In this trigonometric functions worksheet, students calculate the domain and range of the three basic trig functions. There are 6 equations.
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How are we Related?
Young scholars differentiate functions based on their domain and range. For this algebra lesson, students define function, domain, range and relation. They analyze graphs and coordinate pairs for input and output values making up a...
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Linear Algebra
In this linear algebra worksheet, students solve 3 different sets of problems that include rank, dimension, nullspace and range of linear algebra. They determine the relation between the rank of a matrix and the dimension of its range....
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 in a series of nine. They show...
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Math: Real Time and Live
Get an interdisciplinary edge. Scholars study air contamination and slope. They record the time it takes for air fresheners to reach them at variable distances. They document their times, classify them by distance, and draw a scatter...
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Domain and Range
In 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...
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Identifying Functions
Students, after completing a warm up exercise on one proportion word problem, distinguish between functions and non-functions. They identify domain and range on a function as well as recognize and implement function notation. They solve...
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Finding Function Values
For this function worksheet, students find the value of functions by a given domain. There are six functions on this one-page worksheet.
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Graphs of Functions
In this graphs of functions instructional activity, 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...
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Relations, Functions and Equations Worksheet with a Computer Component
For this relations worksheet students solve eighteen problems related to relations, functions, and equations. The first part of this worksheet is designer to be completed with a computer program.
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Exponential Growth and Exponential Functions
Pupils explore the concept of exponential functions. In this exponential functions lesson, students model exponential growth about a high school population using an applet. Pupils manipulate the applet to show the effect that a change in...
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Linear Functions
Students solve and graph linear equations. In this algebra instructional activity, students collect data and plot it to create a linear function. They identify the domain and range of each line.
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Algebra 1
Students 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. Students record the data and write it in...
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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...
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Chapter 10-Relations and Functions, Practice Test
In this intermediate algebra worksheet, 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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Four Steps to Find Inverse Functions
In this inverse functions reference worksheet, students are presented with the four sets used to find an inverse function given a function equations.
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Introduction To Functions
Students define a functions and solve problems using functions. In this algebra lesson, students differentiate functions from non-functions. They differentiate between polynomials of higher degrees.
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Equations as Relations
For this equations as relations worksheet, 9th graders solve and complete 8 different problems that include writing equations as relations. First, they determine the ordered pairs that are solutions for each given equation. Then,...
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...
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Graphing
In this graphing worksheet, 9th graders solve and graph 8 different problems that include defining various terms related to graphing. First, they label the quadrants in a coordinate plane and name the quadrant for each listed ordered...
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Properties of Trigonometric Functions
In this properties of trigonometric functions worksheet, students complete 4 sections consisting of 15 problems involving problem solving using Pythagorean and trigonometric identities and sketching functions..