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Domain & Range of Functions
In this function worksheet, students determine the domain and range of given functions. They identify terms in a sequence of integers, This two-page worksheet contains seven multi-step problems.
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Worksheet 5: Functions & Limits
In this function learning exercise, students determine the limits of functions, sketch graphs, and use the Intermediate-Value Theorem for functions. This two-page learning exercise contains twenty-two problems.
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Worksheet 13: Slope and Concavity
In this function worksheet, students determine the equation of a line, compute slope and concavity of a graph, and find the maximum volume of three-dimensional figures. This one-page worksheet contains six multi-step problems.
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Worksheet 10: Differentiation
In this differentiation worksheet, students differentiate functions, sketch graphs of functions, determine the area of inscribed polygons, and use the Mean Value Theorem for functions and intervals. This four-page worksheet contains...
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Review Questions for Midterm 2
In this review worksheet, students prove the intersection of finitely of sets, construct increasing functions, and identify characteristics of an open and closed set. This two-page worksheet contains seven problems.
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Clarification and Extra Problems for Homework 10: Metric Space
In this metric space worksheet, learners define a compact metric space, and explore continuous functions. They prove a function converges uniformly. This one-page worksheet contains six problems.
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Worksheet 2: Evaluating Functions
For this function worksheet, learners evaluate sums, estimate the area of the region between graphs, estimate the volume of a hemisphere, and use subintervals and the limit definition integrals to evaluate functions. This two page...
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Worksheet on Power Series
In this function worksheet, students identify the interval of convergence and write differential equations. This two-page worksheet contains five multi-step questions.
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Finding Roots and Newton's Method
In this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...
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Worksheet 6
In this integral worksheet, students are given 20 short-answer problems regarding integrals, temperature, time, limits, maximum & minimum values.
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The Derivative
In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
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Limits, Continuity and Differentiability
In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...
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New Functions From Old, Part 1
In this function activity, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page activity contains...
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Challenge Sheet 2: Evaluate Functions
In this function worksheet, students evaluate integrals using the fundamental theorem of calculus. They identify the maxima and minima on intervals. This one-page worksheet contains seven problems.
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Indefinite Integral
In this indefinite integral worksheet, students find the indefinite integral and differentiate functions. This one-page worksheet contains ten problems.
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Worksheet 1 - Polynomials, Functions, Rates
In this polynomial worksheet, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring polynomials, distance,...
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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.
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Related Functions
In this function worksheet, students discuss how a function would change if it shifted on a graph. They create ten new, related functions. Students identify odd, even and symmetric functions. This two-page worksheet contains examples,...
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The Derivative As a Function
For this derivative worksheet, students find the derivatives of given functions and graph a function. They identify the intervals which are increasing, decreasing or remain constant. This two-page worksheet contains approximately...
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Maclaurin Series Quiz
In this Maclaurin series worksheet, students use the Maclaurin series to find the first nonzero terms in a function. They estimate the value of a function with a given absolute error. This two-page worksheet contains two multi-step...
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Applications of Derivatives: Newton's Method
In this derivative worksheet, students use Newton's Method for finding the roots of a function. They identify the local extrema and discuss ways in which Newton's Method can fail. This one-page worksheet contains four problems.
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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...
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Discussion Sheet 1: Domain & Range of a Function
In this domain and range learning exercise, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page learning exercise contains nine multi-step...
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Differentiability and Linear Approximation
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.