Curated OER
Functions - Intro and Inverses
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
Virginia Department of Education
Functions: Domain, Range, End Behavior, Increasing or Decreasing
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
CK-12 Foundation
Domain, Range, and Signs of Trigonometric Functions: Sine and Cosine
Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...
Mathematics Vision Project
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
CK-12 Foundation
Analyzing the Graphs of Functions: Analyzing a Rational Function
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...
Curated OER
Domain and Range: Equation
In this algebra worksheet, students state the domain and range of various functions and equations. There are five questions and some are multiple choice questions.
EngageNY
Representing, Naming, and Evaluating Functions (Part 2)
Notation in mathematics can be intimidating. Use this lesson plan to expose pupils to the various ways of representing a function and the accompanying notation. The material also addresses the importance of including a domain if...
Curated OER
Twenty-One Domain and Range Problems
In this domain and range worksheet, students identify the domain and/or range for twenty-one free-response and multiple choice problems. The functions include trigonometric functions. The solutions are provided.
Curated OER
Operations with Functions
This is a very strange but fairly amazing worksheet. You plug-in the number of problems, how you'd like them arranged, and if answers should be available and click retrieve. Like magic a worksheet to your specifications pops up. This...
Mathematics Vision Project
Module 5: Features of Functions
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas like...
Curated OER
Domain of Functions
In this domain of functions worksheet, students find the domain of given functions. They simplify functions containing square roots and exponents. This one-page worksheet contains 4 problems.
Curated OER
Exponential Graph Functions
In this exponential functions worksheet, students solve and complete 13 various types of problems. First, they define what is different and what is the same about exponential and linear functions. Then, students write a rule for each...
Curated OER
Exponential Functions
In this exponential functions worksheet, students solve and complete 20 various types of problems. First, they graph the function and state the domain and range. Then, students tell whether the graph represents exponential growth or...
Illustrative Mathematics
Function Rules
Function machines are a great way to introduce the topic of functions to your class. Here, you will explore the input and output to functions both using numerical and non-numerical data. Learners are encouraged to play with different...
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...
University of North Texas
Library of Functions
Join the family picnic and see how all the functions come together in a PowerPoint that highlights their main features. As it includes topics such as domain, range, and intercepts, the slides are a great guide to promote class discussions.
Curated OER
Domain and Range
Relations, and functions, and line tests, oh my! An instructional slideshow demonstrates the definitions of a relation, a function, and the domain and range of a relation. Viewers then learn how to use mappings and vertical line tests to...
Curated OER
Profitable Soda Stand
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
EngageNY
Function Composition
Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...
EngageNY
Graphing the Logarithmic Function
Teach collaboration and communication skills in addition to graphing logarithmic functions. Scholars in different groups graph different logarithmic functions by hand using provided coordinate points. These graphs provide the basis for...
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.
Curated OER
Domain and Range
In this domain and range worksheet, students write the definitions for relation, function, domain and range. They then find the domain and range of 7 sets of ordered pairs. Finally, students answer 4 questions regarding inverse relations...
Curated OER
Piecewise-Defined Functions 1
For this piecewise-defined function, students explore the graph of given functions and match it to the proper equation. They identify the x and y-intercepts, domain, range, and interval of each function. There are approximately ten...