Here you will learn some function examples for better understanding of function concepts. Example 1 : Find the range of the given function log√2(2−log2(16sin2x+1)) Solution : Now 1 ≤ 16sin2x + 1) ≤ 17 ∴ 0 ≤ log2(16sin2x+1) ≤ log217 ∴ 2 – log217 ≤ 2 – log2(16sin2x+1) ≤ 2 Now consider 0 […]
Here you will learn algebraic operations on functions, equal or identical functions and homogeneous function. Let’s begin – Algebraic Operations on Functions Various operations, namely addition, subtraction, multiplication, division etc on real function are : (i) Addition : Let f : D1 → R and g : D2 → R be two real functions. Then,
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Here you will learn types of functions in maths i.e polynomial function, logarithmic function etc and their domain and range. Let’s begin – Types of Functions in Maths (a) Polynomial function If a function is defined by f(x) = a0xn + a1xn−1 + a2xn−2 + ….. + an−1x + an where n is a non
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Here, you will learn what is inverse of a function, its properties and how to find the inverse of a function. Let’s begin – Inverse of a Function Let f : A → B be a one-one & onto function, then there exists a unique function g : B → A such that f(x) =
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Here, you will learn what is a periodic function with definition and example. Let’s begin – Periodic Function A function f(x) is called periodic if there exist a positive number T (T > 0), where T is the smallest such value called the period of the function such that f(x + T) = f(x), for
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Here, you will learn one one and onto function (bijection) with definition and examples. Let’s begin – What is Bijection Function (One-One Onto Function) ? Definition : A function f : A → B is a bijection if it is one-one as well as onto. In other words, a function f : A → B
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Here, you will learn domain and range of greatest integer function and properties of greatest integer function with example. Let’s begin – Greatest Integer Function or Floor Function For any real number x, we use the symbol [x] or ⌊x⌋ to denote the greatest integer less than or equal to x. For example,
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Here, you will learn modulus function and what is the domain and range of modulus function. Let’s begin – The function f(x) defined by y = |x| = {xif x≥0−xif x<0 is called the modulus function. It is also called absolute value function.
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Here, you will learn what is odd even functions and how to determine if given function is odd or even with example. Let’s begin – Odd Even Function : Let a function f(x) such that both x and -x are in its domain then If f(-x) = f(x) then f is said to be an
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Here you will learn what is domain, codomain and range of function and how to find domain and range of function with example. Let’s begin – Let f : A → B is a function. Then, the set A is known as the domain of f and the set B is known as the codomain
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