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Worksheet
Mt. San Antonio Collage

Graphs of Rational Functions

For Students 9th - 12th Standards
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 
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Lesson Plan
Curated OER

Worksheet 4: Limits

For Teachers Higher Ed
In this limits worksheet, students evaluate limits and graph given expressions. They classify graphs as removable discontinuities, jump discontinuities, or asymptotes. this two-page worksheet contains seven multi-step problems.
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Worksheet
Curated OER

Inflection Points

For Students 11th
In this inflection points worksheet, 11th graders solve and complete 5 different problems. First, they find intervals of x for which each of the following curves is increasing, decreasing, concave upward, concave downward. Then, students...
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Worksheet
Curated OER

Properties of Curves

For Students 11th - 12th
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
Curated OER

Rational Functions and Conics

For Students 11th - Higher Ed
In this math worksheet, students practice the calculation of rational functions and conics. This worksheet has 6 problems for the students to solve.
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Worksheet
Curated OER

Worksheet 5 Math 126-Hyperbolas

For Students 12th - Higher Ed
For this Pre-calculus worksheet, students solve problems involving hyperbolas. The two page worksheet contains explanation and four multi-part questions. Answers are not included.    
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Lesson Plan
Virginia Department of Education

Exponential Modeling

For Teachers 10th - 12th
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
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Worksheet
1
1
Curated OER

Graphing Rational Functions

For Students 11th
In this algebra 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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Worksheet
Curated OER

Graphing and Properties of Hyperbolas

For Students 10th - 12th
In this graphing and properties worksheet, students identify the vertices, foci of each hyperbola. They graph hyperbolas. Students identify asymptotes, the length of the transverse axis and the length of the conjugate axis. This...
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Worksheet
Curated OER

Graphs of Functions

For Students 11th
In this algebra learning exercise, 11th graders graph functions and identify properties of each functions. They find the domain and range, along with the asymptote. There are 4 questions on this learning exercise.
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Worksheet
Curated OER

Graphs of Functions

For Students 11th
In this algebra worksheet, 11th graders calculate the domain, range, asymptote and intercepts of a quadratic function. They sketch the graph and identify the transformation. There are 4 questions in this worksheet.
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Assessment
Mt. San Antonio Collage

Test 1: Graphing Functions

For Students 9th - 12th Standards
Graph the night away with all the different types of functions provided in the worksheet. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.
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Assessment
1
1
Illustrative Mathematics

Graphing Rational Functions

For Students 9th - 12th Standards
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
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Lesson Plan
Curated OER

Parabolas

For Teachers 10th - 11th
For this algebra worksheet, students solve parabolas using the standard and vertex forms. They find the vertex and asymptote and graph the parabola. There are 64 problems.
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Worksheet
Curated OER

Exploring Exponential Models

For Students 11th Standards
Explore the difference between exponential growth and decay with this worksheet. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced. 
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Worksheet
Curated OER

Hyperbola

For Students 7th - 12th
In this Algebra II worksheet, students determine the vertices and foci of a hyperbola, write the equations in standard form, find the asymptotes, and sketch the graphs of hyperbolas.  The one page worksheet contains thirty-one problems. ...
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Worksheet
Curated OER

Limits of Functions as Undefined X-Values and L'Hopital's Rule

For Students Higher Ed
In this limits worksheet, 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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Lesson Plan
Curated OER

Worksheet 9, Rational Functions

For Teachers 9th - 10th
In this algebra worksheet, students 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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Worksheet
Curated OER

Chapter 3 - Worksheet 3E - Functions

For Students 11th - 12th
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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Lesson Plan
Curated OER

Exponential Equations and Functions

For Teachers Higher Ed
In this college level Pre-Calculus worksheet, students solve problems involving exponential functions.  Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains seventy...
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Worksheet
Curated OER

More on Limits, Graph Sketching, and L'Hopital's Rule

For Students Higher Ed
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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Worksheet
Curated OER

Topic 7.5 - Hyperbolas

For Students 8th - 10th
In this hyperbola worksheet, students analyze 2 graphs of hyperbolas and write the equation for each. They then answer 5 questions in which they analyze an equation and write the coordinates of the vertices, coordinates of the foci, and...
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Worksheet
Curated OER

Math Worksheet: Graphs of Rations Functions (2)

For Students 11th
In this Algebra II worksheet, 11th graders examine a rational function as they determine the domain, vertical asymptotes, x- and y-intercepts and graph the function.  The two page worksheet contains five problems that relate to the one...
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Lesson Plan
Curated OER

Graph of the Tangent, cotangent, Secant, and Cosecant Functions

For Teachers Higher Ed
In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions.  Students find the intercepts and any asymptotes.   The seven page worksheet contains sixty-six...

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