CK-12 Foundation
Infinite Limit Type: Evaluating Limits of Rational Functions
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
K20 LEARN
Family Ties: Exploring Families OF Functions
They say it runs in the family. Small groups use a card sorting activity to group graphs of functions into families. After grouping by families, the class develops conclusions for parent functions and create a graphic organizer.
EngageNY
Curves from Geometry
Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...
Curated OER
Parabolas
In 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.
Curated OER
Exploring Exponential Models
Explore the difference between exponential growth and decay with this activity. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced.
Curated OER
Hyperbola
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. ...
Curated OER
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.
Curated OER
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...
Curated OER
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...
Curated OER
Exponential Equations and Functions
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...
Curated OER
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...
Curated OER
Math Worksheet: Graphs of Rations Functions (2)
In this Algebra II instructional activity, 11th graders examine a rational function as they determine the domain, vertical asymptotes, x- and y-intercepts and graph the function. The two page instructional activity contains five...
Curated OER
Graph of the Tangent, cotangent, Secant, and Cosecant Functions
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...
Shodor Education Foundation
Data Flyer
Fit functions to data by using an interactive app. Individuals plot a scatter plot and then fit lines of best fit and regression curves to the data. The use of an app gives learners the opportunity to try out different functions to see...
Curated OER
Challenge Discussion Sheet 6
Students are challenged to determine values that are guaranteed by the mean value theorem. They sketch the graph of a function and show that it satisfies the conditions of the mean value theorem over a given interval. Students determine...
Curated OER
Discussion Sheet 8
In this limits worksheet, students answer ten short answer questions. Students evaluate limits and differential problems. They find horizontal asymptotes for one function.
Curated OER
Rational Functions
In this Algebra II/Pre-calculus learning exercise, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page learning exercise contains nine problems. Answers are not provided.
Curated OER
Hyperbolas
Learners find the center, foci, vertices, and asymptotes of hyperbolas. They graph hyperbolas and determine the equation of a hyperbola with a horizontal transverse axis. They derive general coordinates for the foci of a hyperbola with a...
Curated OER
MT-A141 PreCalculus: Worksheet 5.1
In this precalculus worksheet, students evaluate and graph given functions. They identify the domain and asymptote of each equation. There are two multi-step problems to this worksheet.
Curated OER
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.
Mt. San Antonio Collage
Test 2: Rationals, Exponentials, and Logarithms
Running out of logarithm questions in class? The nicely organized two-page worksheet provides practice in rational, logarithmic, and exponential functions. All the topics include graphing, solving, and finding domain and range.
Curated OER
Jeopardy
An unusually challenging Jeopardy-style game is here for your charges. All sorts of high-level algebraic terminology, concepts, and problem solving are embedded in the game. There is even a Final Jeopardy clue. I have found these...
Curated OER
Parent Functions Review Sheet
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet can be...
Mt. San Antonio Collage
Quiz 2: Types of Functions
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials.
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