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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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Linear Functions and Piecewise Linear Functions
An activity that could function as a review or as a quiz, this worksheet prompts students to find two different linear functions that satisfy the given equation. Students sketch the graph of two linear equations. They identify the domain...
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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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ESP Quiz 3
In this functions worksheet, students complete three short answer problems. They solve one compound inequality. Students show that a given function is even. They use exponential growth to compute the enrollment at UC Davis over time.
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ESP Quiz 1
Students solve two systems of equations in this worksheet/quiz. They solve four functions problems; both type of problems require short answers.
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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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Worksheet 4
In this functions worksheet, students solve eleven short answer questions. They find z sub x and z sub y for each of seven functions. In the final problem, students find the function of the given condition.
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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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Reviewing the First Unit
In this linear function worksheet, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six...
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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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Some Elementary Derivative Formulas and Rules
In this derivative formula activity, students solve problems concerning the derivative of constant functions and linear functions. They explore the derivative of the cosine and sums and differences functions. This six-page activity...
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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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Cell Organization
In this cell organization worksheet, 9th graders complete the table with each correct cell part and function for that particular part. Then they label the animal cell and the plant cell diagrams with each cell part.
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Taylor's Theorem
In this Taylor's Theorem worksheet, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They use...
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Discussion Sheet 6: Doman & Range
In this domain and range worksheet, 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 story problems...
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Worksheet 1 - Polynomials, Functions, Rates
For 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,...
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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 learning exercise, 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 learning exercise...
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The Derivative As a Function
In 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 twenty...
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Quiz 2: Euler's Method and Piecewise Linear Functions
In this linear function worksheet, students use Euler's method to approximate a solution to an initial value problem. This two-page worksheet contains three multi-step problems.