Another way to visualize origin symmetry is to imagine a reflection about the x -axis, followed by a reflection across the y -axis. If this leaves the graph of the function unchanged, the graph is …

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 the x- and y …

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.

Investigation: Symmetry of polynomials In this investigation, we will examine the symmetry of polynomials with more than one term.

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.

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 table is even, …

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, from parent …

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: two …

If f of negative x is equal to the function again, then we're dealing with an even function. If we evaluate f of negative x, instead of getting the function, we get the negative of the function, then we're dealing …

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.