Definition of One-to-One Functions

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

In this one to one functions worksheet, students solve 27 short answer and graphing problems.  Students determine if a function is one to one given a graph or an equation.  Students graph functions to determine if it is one to...

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...

Do you want to play a little one-to-one? Learn to determine algebraically if a function is one-to-one. Work through two examples using the video as a guide. 

One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....

What is a function? What is a one-to-one function? Using examples of domain and range and looking at different mappings, this video looks at the definition of a function and more specifically, the definition of a one-to-one function.

Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is...

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...

It takes exactly one to win. Pupils calculate the probability of rolling five dice and having only a single die come up with a one. Learners calculate the number of expected wins out of a series of games. The interactive provides...

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]