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Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
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Properties of Curves
In this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves. The forty-two page worksheet contains one hundred problems. Answers are...
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Worksheet #12 - Logarithms
In this worksheet, students convert exponential expressions into an equivalent logarithm and visa versa. They find the exact value of logarithmic expressions and determine the domain of a given function. Finally, students use...
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Graphing Rational Functions
In this algebra instructional activity, 11th graders graph rational functions. They identify the asymptote, discontinuity, holes and vertex. There are 14 questions with an answer key.
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Limits of Functions as Undefined X-Values and L'Hopital's Rule
In this limits learning exercise, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
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Worksheet 9, Rational Functions
In this algebra worksheet, learners tell how they would find the domain of a rational function. They find the intercepts of a rational function and graph it. Students test for symmetry, locate the asymptotes and determine where the graph...
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Chapter 3 - Worksheet 3E - Functions
In this function worksheet, students observe graphs and determine if the function of the graph is odd or even. They find the inverse of a function and determine the horizontal asymptote of a function. This four-page worksheet contains...
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More on Limits, Graph Sketching, and L'Hopital's Rule
In this limits worksheet, students compute the answers to thirteen limits problems. They answer one short answer question. Students follow listed steps to simplify two limits problems. Students answer three short answer questions about a...
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Limits and Infinity
For this calculus lesson, learners graph functions, identify limits and use the derivative to solve equations with limits. There are 5 questions about limits as x approaches infinity.
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The Canoe Trip, Variation 1
Your river sportsmen will explore an example of paddling upstream as they build functions modeling speed and time in terms of the speed of the current. They then use their algebraic models to interpret features of the function related to...
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Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year period....
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Worksheet 5 - Squeeze Theorem
In this Squeeze Theorem worksheet, pupils compute limits, identify a graph that represents the Squeeze Theorem, and graph given functions. This two-page worksheet contains seven multi-step problems.
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Properties of Exponential Functions
In this algebra activity, students graph exponential equations and use the formula to translate the graph on a coordinate plane. There are 3 word problems.
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Rational Functions
In this rational functions activity, 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 activity contains 35 multip-step problems.
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Curve Sketching
In this calculus instructional activity, 12th graders answer questions about derivatives, increasing and decreasing functions, relative maximum and minimum and points of inflection. They also sketch the graph of the equation. There are...
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Curve Sketching Review Worksheet
In this curve sketching activity, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Trigonometry Practice: Trigonometric Graphs #3
In this Trigonometry Practice worksheet, students are asked to graph a variety of trigonometric functions. A graphing calculator is required to complete these three pages.
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Find the Average Value of a Function
In this calculus learning exercise, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.
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Sixteen Multiple Choice AP Calculus BC Exam Preparation Questions
In this review for Calculus BC exam instructional activity, students solve sixteen various multiple choice problems. These problems are designed as review and preparation for the AP Calculus Exam.
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Converging Series
In this functions instructional activity, students calculate the average value, continuity, and the radius of convergence. There are 17 multiple choice questions.
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Average Value of a Function
In this calculus worksheet, 12th graders calculate the line tangent to a curve and find the average value of a function. There are 12 questions.
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Worksheet 8, Exponents
In this calculus worksheet, learners analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Learners solve...
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Worksheet 11
In this math activity, students define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.