What is a One-to-One Function?

One-step equations are the foundation of algebra and your mathematicians can strengthen their skill set with this two-page learning exercise. The problems consist of all the operations and include positive and negative numbers for...

In this one to one functions learning exercise, high schoolers solve 27 short answer and graphing problems.  Students determine if a function is one to one given a graph or an equation.  High schoolers graph functions to...

Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...

One step equations involving addition, subtraction, multiplication and subtraction.  Step by step methods of how to solve these equations and has practice problems for each operation.  Answers are provided.  As a...

Help your students understand how to use their algebraic reasoning to solve a one-step equation, where they must solve for X. Add this video to a lesson or assign it as homework.

Functions are special relations, but are there special functions? A concept video defines a one-to-one function. Three problem videos cover examples in determining whether a relation is a function and whether it is a one-to-one...

Video first reviews what the null space is and how to solve for it using reduced row echelon form. Shows that any solution to the inhomogeneous system Ax = b will be the sum of a particular solution and a homogeneous solution. Extends...

Video first reviews that a function is invertible if and only if there is a unique solution to f(x) = y for any y. Extends this to show that a function is invertible if and only if it is surjective (onto) and injective (one-to-one). [6:31]

Find out how to tell if a function has an inverse function.

Here is an interesting way to build concept understanding regarding one-to-one correspondence. Learners with visual impairments will use an array of everyday objects in context to foster an understanding of what one-to-one correspondence...