Graphically, a function is odd if it is symmetrical around the origin. It is called an “odd” function because polynomials with odd exponents have these properties.

Functions can be symmetrical about the y-axis, which means that if we reflect their graph about the y-axis we will get the same graph. There are other functions that we can reflect about both …

Learn how to determine if a polynomial function is even, odd, or neither.

Introduction In this article, we will learn how to interpret the symmetry of a graph in the context of an applied problem. But first, let's refresh our memories regarding the symmetry of functions.

A curve that is symmetric over the x-axis isn't a function, since it fails the vertical line test.

Course: Precalculus (TX TEKS) > Unit 1 Lesson 3: Function symmetry Function symmetry introduction Function symmetry introduction Even and odd functions: Graphs

In this unit, we’ll explore how features like symmetry, discontinuities, and intervals reveal deeper insights into function behavior. You'll learn to interpret and analyze a wide variety of graphs, …

Even functions are symmetrical about the y-axis: f (x)=f (-x). Odd functions are symmetrical about the x- and y-axis: f (x)=-f (-x). Let's use these definitions to determine if a function given as a …

Inputs and outputs of a function Learn Worked example: matching an input to a function's output (equation) Worked example: matching an input to a function's output (graph) Worked example: …

Polynomials functions may or may not be even or odd. As soon as you shift a graph left/right or up/down, you may lose any y-axis or origin symmetry that may have existed.