EngageNY
The Graph of the Equation y = f(x)
Math language? Set notation is used in mathematics to communicate a process and that the same process can be represented as computer code. The concept to the loop in computer code models the approach pupils take when creating a solution...
EngageNY
The Graph of a Function
Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...
Virginia Department of Education
Inductive and Deductive Reasoning
Introduce pupils to the two types of reasoning, inductive and deductive. Classmates work in pairs or small groups to learn the difference between the two and apply these reasonings to develop valid conclusions.
Curated OER
Let's Plot Points
Use coordinate grid paper to plot points and identify shapes that are already plotted on the paper by saying their coordinates. Pupils also measure the distance between points and play the game Battleship. There are several web links and...
Curated OER
Functional Analysis
Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Domain, Range, Vertical Line Test
A detailed tutorial on functions covering the following topics: finding the domain and range of a function, using the vertical line test, determining whether a function is even, odd, or neither, and applying the greatest integer function...
Cool Math
Coolmath: The Vertical Line Test
Explanation and examples for using the vertical line test.
CK-12 Foundation
Ck 12: Algebra: Vertical Line Test
[Free Registration/Login may be required to access all resource tools.] Learn how to determine whether or not a relation is a function.
CK-12 Foundation
Ck 12: Algebra: Vertical Line Test
[Free Registration/Login may be required to access all resource tools.] Learn how to determine whether or not a relation is a function.
Cool Math
Coolmath: Pre Calculus Horizontal and Vertical Lines Review
This CoolMath resource provides a review of horizontal and vertical lines.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Vertical Line Test
Find a quick, concise explanation of the vertical line test. An example is given and clearly explained.
CK-12 Foundation
Ck 12: Algebra: Vertical Line Test
[Free Registration/Login may be required to access all resource tools.] This concept introduces students to relations and what makes a relation a function.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
Oswego City School District
Regents Exam Prep Center: Algebra 2: Definition of Inverse Function
An introductory look at the definition of an inverse function, the notation used for inverse functions, and tests used to determine whether a function will have an inverse. Several examples are provided for the student to scroll through...
CK-12 Foundation
Ck 12: Algebra: Vertical Shifts of Quadratic Functions
[Free Registration/Login may be required to access all resource tools.] Learn about the effects of shifting quadratic functions vertically.
University of North Carolina
University of North Carolina Wilmington: Graphs of Functions
Defining the graph of a function, vertical line test, characteristics of graphs, approximating relative extrema, and even and odd functions are covered with examples that include charts and graphs.
CK-12 Foundation
Ck 12: Algebra: Algebraic Functions
[Free Registration/Login may be required to access all resource tools.] In this lesson students determine if a given relation or graph is a function. Students watch a video tutorial, examine guided notes and attempt practice problems.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra: Introduction to Functions
This introductory tutorial on functions offers important definitions, examples of functions, and practice exercises for you to complete and check.
CK-12 Foundation
Ck 12: 3.3 Inverse Functions
This section explores the process for finding inverses of functions, and then proving the function and its inverse algebraically. Additionally, it explores how the graphs of functions and their inverses compare to each other, and it...
Purple Math
Purplemath: Functions Versus Relations
This lesson offers a thorough explanation of functions, domain and range, and how to find them. Includes multiple example problems and graphs. Great review tool for Algebra students.
CK-12 Foundation
Ck 12: Analysis:
[Free Registration/Login may be required to access all resource tools.] Definition of a function and how to identify a function.
CK-12 Foundation
Ck 12: Analysis: Scalar Projections
[Free Registration/Login may be required to access all resource tools.] In this lesson students will study scalar projections: dot products of vectors and unit vectors. Students examine guided notes, review guided practice, watch...