Elementary mathematics | Functions and mappings | Types of functions | Basic concepts in set theory

Identity function

In mathematics, an identity function, also called an identity relation, identity map or identity transformation, is a function that always returns the value that was used as its argument, unchanged. That is, when f is the identity function, the equality f(X) = X is true for all values of X to which f can be applied. (Wikipedia).

Identity function
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(New Version Available) Inverse Functions

New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

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Ex 2: Find the Inverse of a Function

This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Determining Inverse Functions

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How to determine if an ordered pair is a function or not

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Functions of equations - IS IT A FUNCTION

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Lesson: Inverse Functions

Define an inverse function. Determine if a function as an inverse function. Determine inverse functions.

From playlist Determining Inverse Functions

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Ex 1: Find the Inverse of a Function

This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Determining Inverse Functions

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Determine if the equation represents a function

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Given a table of values for a function, find the points for the inverse of the function

👉 Learn how to find the inverse of a function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is made the argument (input) of a function, the result is x

From playlist Find the Inverse of a Function

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Using the vertical line test to determine if a graph is a function or not

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Trig identities - What are they?

► My Trigonometry course: https://www.kristakingmath.com/trigonometry-course Trig identities are pretty tough for most people, because 1) there are so many of them, and 2) they’re hard to remember, and 3) it’s tough to recognize when you’re supposed to use them! But don’t worry, because

From playlist Trigonometry

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YOU CAN'T USE EULER'S IDENTITY TO PROVE THE ANGLE SUM IDENTITIES! | Tricky Parts of Calculus, Ep. 4

I give multiple proofs of the angle sum identities sin(x+y) = sin(x)cos(y) + sin(y)cos(x) and cos(x+y) = cos(x)cos(y) - sin(x)sin(y) from different perspectives. I stress that a very common presentation of these formulas based on Euler's identity e^(ix) = cos(x) + i sin(x) is circular and

From playlist Math

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Karl Mahlburg: Automorphic forms and classical partition identities

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Number Theory

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Cluster algebras and dilogarithm identities (Lecture 3) by Tomoki Nakanishi

PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra

From playlist School on Cluster Algebras 2018

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Hyperbolic Functions Introduction 6 Ex Calculus 1 PLEASE READ DESCRIPTION

Please note the copy error on the green board, cosh^2(x)=1/2(1+cosh(2x)) Evaluating Hyperbolic Functions for a given value at 7:37 and 8:30 Find values of other 5 Hyperbolic Functions from a given Hyperbolic Function at 12:50 Verifying a Hyperbolic Identity 3 examples at 16:02 20:53 25:21

From playlist Calculus

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Introduction to the inverse of a function | Matrix transformations | Linear Algebra | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/matrix-transformations/inverse-transformations/v/linear-algebra-introduction-to-the-inverse-of-a-function Introduction to the inverse of a function

From playlist Matrix transformations | Linear Algebra | Khan Academy

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Category Theory 1.2: What is a category?

What is a Category?

From playlist Category Theory

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Fundamentals of Mathematics - Lecture 27: Composition of Functions and Left/Right Inverses

course page: https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html Videography - Eric Melton (UVM)

From playlist Fundamentals of Mathematics

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Graphing and finding the inverse of a rational function

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

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Pythagorean Identities for Trigonometric Functions (Precalculus - Trigonometry 10)

How to use Even, Odd, and Pythagorean Identities in trigonometry and where they come from. Special focus will be paid to the Unit Circle and corollaries of the typical Pythagorean Identities. Support: https://www.patreon.com/ProfessorLeonard

From playlist Precalculus - College Algebra/Trigonometry

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