Curated OER
Rational Functions
In this college level Pre-Calculus activity students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts. The three page activity contains forty problems. Answers are provided.
Illustrative Mathematics
Graphing Rational Functions
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...
Mt. San Antonio Collage
Graphs of Rational Functions
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.
Curated OER
Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions
Using this worksheet, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function and...
West Contra Costa Unified School District
Comparing Rational Functions and Simplified Functions
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order to...
Curated OER
Lesson 19: Rational Functions and Long Division
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...
Concord Consortium
Rational and Not So Rational Functions
Do not cross the line while graphing. Provided with several coordinate axes along with asymptotes, pupils determine two functions that will fit the given restrictions. Scholars then determine other geometrical relationships of asymptotes...
Curated OER
Senior Analysis: Graphing Rational Functions
Budding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page worksheet contains 23 problems.
Curated OER
Extra Practice 10.4: Solving Rational Equations
In this rational equations learning exercise, students solve 20 rational equations. Students find the zeros of rational functions and solve rational equations.
Curated OER
Math Regents Exam Questions: Graphing Rational Functions
In this graphing rational functions activity, students answer 18 multiple choice problems about rational functions. Students determine values for a which a function is undefined given the equation of the function.
Curated OER
Finding the Limit: Piecewise Functions and Graphs
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
Curated OER
Graphing Rational Functions
In this Algebra II worksheet, 11th graders graph rational functions and use the graph to solve real-life problems. The four page worksheet contains forty-one problems. Answers are not provided.
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
Rational Functions
In this rational functions worksheet, 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 worksheet contains 35 multip-step problems.
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.
Mathematics Assessment Project
Sorting Functions
There's no sorting hat here. A high school assessment task prompts learners to analyze different types of functions. They investigate graphs, equations, tables, and verbal rules for four different functions.
Curated OER
Graphing Rational Functions
In this rational function worksheet, students identify the vertical and horizontal asymptote for each rational function. They graph rational functions. This one-page worksheet contains five problems.
Curated OER
Rational Functions
In this algebra worksheet, students solve rational functions and identify the x and y intercepts, the vertical and horizontal asymptotes. There are 26 questions.
Curated OER
Simplifying Rational Expressions
In this algebra worksheet, students simplify rational expressions using common denominators. There are 50 questions requiring factoring and grouping, with an answer key.
Curated OER
Rational Equations
In this college level mathematics worksheet, students solve rational equations and identify the extraneous solutions. The two page worksheet contains fifty-eight problems. Answers are included.
Curated OER
Worksheet 9, Rational Functions
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...
Curated OER
Math Worksheet: Graphs of Rations Functions (2)
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...
Curated OER
Twenty Rational Function Problems
In this rational functions learning exercise, students find asymptotes, perform operations, simplify, and solve in twenty rational functions.