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Math Notes and Math Tests
Pre Calculus Notes: Logarithmic (Log) Functions and Their Graphs [Pdf]
The resource from a professor at San Diego Mesa College investigates logarithmic functions and their graphs. Topics examined are common logs, basic log properties, and domains of logarithmic functions. Class notes and examples are included.
Richland Community College
Richland Community College: Exponential Functions and Their Graphs
The site explains exponential functions and characteristics of their graphs.
Texas Education Agency
Texas Gateway: Determining Reasonable Domains and Ranges (Verbal/graph)
Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.
Paul Dawkins
Paul's Online Notes: Algebra: The Definition of a Function
Detailed math tutorial features definitions and examples that take a look at relations and functions, function notation, the domain and range of a function, and piecewise functions.
Cuemath
Cuemath: Cosine Function
Learn more about cosine functions by exploring unit circles, and angles, how to use them, and their various applications along with some solved examples and a few interactive questions to test your understanding.
Math Open Reference
Math Open Reference: Domain of a Function
Resource defines the domain of a function and gives examples of interval notation.
Paul Dawkins
Paul's Online Notes: Function Practice Problems by Paul's Online Notes
In this section we will cover function notation/evaluation, determining the domain and range of a function and function composition.
Texas Education Agency
Texas Gateway: Domain and Range: Function Notation
Given a function in function notation form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Texas Education Agency
Texas Gateway: Domain and Range: Numerical Representations
Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Interactive Mathematics
Interactive Mathematics: Domain and Range of a Function
The definitions of domain and range are given in this lesson. Then use the examples to practice determining domain and range of several functions. Real-world applications are provided to enhance the concept.
Khan Academy
Khan Academy: Increasing and Decreasing Intervals
Highlight intervals on the domain of a function where it's only increasing or only decreasing.
Texas Education Agency
Texas Gateway: Determining the Domain and Range for Quadratic Functions
Students will explore how to determine the domain and range for quadratic functions. Students will use graphs, videos, and online activities to complete the tutorial.
Curated OER
Zona Land: Definition of a Rational Function
A thorough introduction to rational functions, covering domain, range, graphs, intercepts, and end behavior.
Khan Academy
Khan Academy: Positive and Negative Intervals
Highlight intervals on the domain of a function where it's entirely positive or entirely negative.
Texas Instruments
Texas Instruments: Domain and Range of Graphs
This activity will allow the students to determine the domain and range of many different graphs presented to them through TI-Navigator using the activity center.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Logarithmic Functions
This clear tutorial provides the definition of a logarithmic function as well as instruction on how to perform important tasks with them. Find step-by-step solutions to example problems and practice exercises for you to complete and check.
Khan Academy
Khan Academy: Lesson Summary: Definition, Measurement, and Functions of Money
This information is intended for AP Macroeconomics students or for those taking college macroeconomics. This activity reviews key terms and calculations related to the definition, measurement, and functions of money. Topics include the...
Illustrative Mathematics
Illustrative Mathematics: F if Your Father
This is a simple task which has learners analyze functions where they assign a father to each student. It addresses the idea that not all functions have real numbers as domain and range values, and the issue of when a function admits an...
California State University
California State University: Domain and X Intercepts in Rational Functions
Description of the nature of the domain in rational functions.
Analyze Math
Analyze Math: Cosine Function
The mathematics tutorial explores the cosine function. The interactive tutorial investigates the period, phase shift, domain, and asymptotes of the cosine function.
PBS
Pbs Learning Media: Unhinged!
This video segment explores the integral relationship between structure and function in snakes.
Mathematics Archives
Math Archives: Visual Calculus: Rational Functions
An explanation of what comprises the domain of a rational function. The information is brief, but formulas and examples are given along with additional links.
Windstream
Ojk's Precalculus Study Page: Inverse Trig Functions
An introduction to the inverse trigonometric functions, concentrating on the domain restrictions, which are explained graphically. Several examples and exercises with solutions are included, as well as a quiz.