The odd functions are functions that return their negative inverse when x is replaced with –x. This means that f (x) is an odd function when f (-x) = -f (x). Learn how to plot an odd function graph and also …

They are special types of functions. A function is "even" when: f (x) = f (−x) for all x. In other words there is symmetry about the y-axis (like a reflection): This is the curve f (x) = x2+1.

Sep 25, 2025 · On the other hand, an odd function's graph is symmetric with respect to the origin. This means the graph is equidistant from the origin but in opposite directions. For any pair of opposite x …

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

May 16, 2025 · This article aims to take you on a comprehensive exploration of odd functions—from the fundamental definitions to practical applications in solving equations and graphing.

An odd function is a mathematical function where f (-x) = -f (x) for every x in its domain. This means the function has origin symmetry, and its graph remains unchanged when rotated 180 degrees about the …

Learn what an odd function is and see examples. Understand the graphs of the odd function and the symmetry of the odd function in the graph with examples.

Welcome to our Math lesson on The Graph of Odd Functions, this is the sixth lesson of our suite of math lessons covering the topic of Even and Odd Functions, you can find links to the other lessons within …

Given a graph of a function, to test whether it is even or odd, consider the symmetry of the graph. Recall that an even function is symmetric about the y-axis while an odd function is symmetric about the origin.

Jul 23, 2025 · In this article, we will learn about odd functions, their examples, properties, graphical representation of odd functions, some solved examples, and practice questions related to odd functions.