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.

Jul 23, 2025 · Even function is defined as a function that follows the relation f (-x) equals f (x), where x is any real number. Even functions have the same range for positive and negative …

A function is an even function if f of x is equal to f of −x for all the values of x. This means that the function is the same for the positive x-axis and the negative x-axis, or graphically, symmetric …

Even functions are those real functions whose graph is self-symmetric with respect to the y-axis, and odd functions are those whose graph is self-symmetric with respect to the origin.

May 21, 2024 · What Is an Even Function? An even function is defined as any function in which the statement f (x) = f (-x) holds true for all real values of x. Equivalently, an even function is …

Jan 7, 2025 · Even Function: f (-x) = f (x). Odd Function: f (-x) = -f (x). For example, the power function f (x)=x n is an even function if n is even and it is an odd function if n is odd. Let us …

Even and odd are terms used to describe the symmetry of a function. An even function is symmetric about the y-axis of the coordinate plane while an odd function is symmetric about …

Nov 14, 2025 · Examples of even functions include 1 (or, in general, any constant function), |x|, cosx, x^2, and e^ (-x^2). An even function times an odd function is odd, while the sum or …

In this article, you will learn the mathematical definition of even function, formula, graph, properties, along with examples. Learn: What is a function? Consider a function f (x), where x …

3 days ago · In general, functions of the form f (x) = x 4, x 6, or more generally x 2 n, where the exponent is even, are examples of even functions. Another example of an even function is the …