Maths

What is odd functions An odd function is a function f(x) that satisfies the property f(-x) = -f(x) for all x in the domain of the function. In other words, an odd function is symmetric with respect to the origin. Geometrically, an odd function has the property that if you rotate the graph of the […]

What is even functions Examples (1) Polynomial functions Any polynomial with only even degree terms is an even function. For example, f(x) = 6×8 – 6×2 – 5. f(-x)= 6(-x)^8 -6(-x)^2 – 5 =6x^8 -6x^2 -5= f(x) (2) Cosine Function [cos(x)] The cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right-angled

This post we will see given a function, how to check if it is one-one function or not. Lets first start with the definition of the one-one functions Definition of one-one functions A function f: A-> B is said to be one-one if, and only if, for all elements a1 and a2 in A, if

Inverse Trigonometric Function Formulas Inverse Trigonometric Functions are important topic in Trigonometry. Here is detailed list of Inverse Trigonometric Function Formulas Domain and Range Of Inverse Trigonometric Functions The value of an inverse trigonometric functions which lies in its principal value branch is called the principal value of that inverse trigonometric functions Graph of Inverse

Here in this post , we will see how to find the inverse of a function Inverse Function how to find the inverse of a function Method I Method II Method III Let f(x) be the function and $f^{-1}(x) $ be the inverse We can use below equation $f(f^{-1}(x)) =x$ Example f(x)=4x -2 $f(f^{-1}(x)) =x$or$4

In this post, we will checking how to prove a function is one-to-one graphically .Examples and Problems are also given to help the student. This will also answer the question How do you know if the function is one-one how to prove a function is one-to-one graphically We can prove using Horizontal line test. What

Into functions are those functions where range is a subset of the codomain of the functions but range is not equal to co-domain Definition A function f: A-> B is said to be into if every element of B is not image of some element of A under f, i,efor every y ? B, there

What is Many one Function A many-to-one function is a function in which multiple elements in the domain may map to the same element in the range. In other words, a single element in the range can have more than one preimage in the domain. Definition A function f : A -> B is said