+
Lesson Plan
Texas Instruments

Graphs of Rational Functions

For Teachers 9th - 12th Standards
Take your kids on a tour of graphing rational functions. Using this TI lesson, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and restrictions of...
+
Worksheet
Curated OER

Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions

For Students 10th - 12th
Using this worksheet, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.
+
Worksheet
Curated OER

Graphing Functions

For Students 11th
In this graphing functions worksheet, 11th graders solve and complete 10 different types of problems. First, they graph each function and list the asymptote, domain and range for each. Then, students sketch each graph. They also draw and...
+
Worksheet
Curated OER

Simplifying Functions

For Students 11th
In this simplifying functions learning exercise, 11th graders solve and complete 11 different types of problems. First, they simplify each function as necessary. Then, students state the vertical asymptotes, holes, horizontal asymptotes,...
+
Worksheet
Curated OER

Graphs of Functions

For Students 10th - 12th
In this graphs of functions worksheet, students identify the domain and range of a function. They determine the vertical horizontal asymptote and find the y and x intercepts. Students sketch a graph of the function. This one-page...
+
Lesson Plan
1
1
Virginia Department of Education

Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
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...
+
Worksheet
Curated OER

Discussion Sheet 6: Doman & Range

For Students Higher Ed
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...
+
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 learning exercise. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.
+
Worksheet
Curated OER

Graphing Rational Functions

For Students 11th
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.
+
Lesson Plan
Curated OER

Similarities and Differences in Properties of Different Families of Functions - An Investigation

For Teachers 9th - 12th Standards
Exploring families of functions allows students compare and contrast properties of functions.  Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
+
Worksheet
Curated OER

Worksheet 11

For Students 6th - 8th
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.
+
Assessment
Mt. San Antonio Collage

Test 2: Rationals, Exponentials, and Logarithms

For Students 9th - 12th Standards
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. 
+
Interactive
CK-12 Foundation

Analyzing the Graphs of Functions: Analyzing a Rational Function

For Students 11th - Higher Ed
Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...
+
Worksheet
Curated OER

Graphing Review

For Students 10th - 12th
in this graphing review worksheet, students solve a variety of problems such as interpreting parabolas, identifying intercepts and asymptotes, and identifying functions. They solve piecewise functions and rational functions. This twenty...
+
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...
+
Worksheet
Curated OER

Rational Functions

For Students 9th - 11th
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.
+
Lesson Plan
Curated OER

Graph Logarithms

For Teachers 9th - 12th Standards
Mathematicians graph logarithmic equations. Teach your young scholars how to identify the intercepts of logarithmic equations and tell whether the function is increasing or decreasing. They find the domain and range of each function.
+
Worksheet
Curated OER

Graphs of Functions

For Students 11th
In this algebra worksheet, 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 worksheet.
+
Assessment
Mt. San Antonio Collage

Quiz 2: Types of Functions

For Students 9th - 12th Standards
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. 
+
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.
+
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...
+
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...
+
Lesson Plan
Curated OER

Worksheet #12 - Logarithms

For Teachers 10th - 12th
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...
+
Handout
2
2
Curated OER

Parent Functions Review Sheet

For Students 9th - Higher Ed Standards
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...