Elementary mathematics | Functions and mappings
In mathematics, a zero (also sometimes called a root) of a real-, complex-, or generally vector-valued function , is a member of the domain of such that vanishes at ; that is, the function attains the value of 0 at , or equivalently, is the solution to the equation . A "zero" of a function is thus an input value that produces an output of 0. A root of a polynomial is a zero of the corresponding polynomial function. The fundamental theorem of algebra shows that any non-zero polynomial has a number of roots at most equal to its degree, and that the number of roots and the degree are equal when one considers the complex roots (or more generally, the roots in an algebraically closed extension) counted with their multiplicities. For example, the polynomial of degree two, defined by has the two roots (or zeros) that are 2 and 3. If the function maps real numbers to real numbers, then its zeros are the -coordinates of the points where its graph meets the x-axis. An alternative name for such a point in this context is an -intercept. (Wikipedia).
Ex 2: Determine the Zeros of Linear Functions
This video explains how to determine the zeros of a linear function. http://mathispower4u.com
From playlist Introduction to Functions: Function Basics
Ex 1: Determine the Zeros of Linear Functions
This video explains how to determine the zeros of a linear function. http://mathispower4u.com
From playlist Introduction to Functions: Function Basics
Overview Zeros of a functions - Online Math Tutor - Free Math Videos
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Pre-Calculus - Finding the zeros of a function from the graph
This video will describe a little bit about what zeros are, and how you can find the zeros of a function using its graph. Remember that the zeros of the function are the same as its x-intercept. For more videos please visit http://www.mysecretmathtutor.com
From playlist Pre-Calculus
Learn to find the values the function is undefined, then write domain
π Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain of a rational function, we first find the values of x
From playlist Domain of a function with a fraction | Linear
What is multiplicity and what does it mean for the zeros of a graph
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
What is the multiplicity of a zero?
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
What are zeros of a polynomial
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Determine Vertical Intercepts of Various Functions
This video explains how to determine the vertical intercepts of various functions including linear, quadratic, square root, cube root, cubic, absolute value, and rational functions. http://mathispower4u.com
From playlist The Properties of Functions
This talk is about the Riemann Roch theorem for genus 1 curves. We check the Riemann Roch theorem explicitly by using elliptic functions to find periodic functions with given divisors. We use this to show that the ring of functions on an affine elliptic curve is not a unique factorizati
From playlist Algebraic geometry: extra topics
Continuity and Differentiability
This calculus video tutorial provides a basic introduction into continuity and differentiability. Continuity tells you if the function f(x) is continuous or discontinuous at some point in the interval (a,b). Points of discontinuity include holes, jump discontinuities, and infinite discon
From playlist New Calculus Video Playlist
Complex Integration and Finding Zeros of the Zeta Function
In this video we examine the other half of complex calculus: integration. We explain how the idea of a complex line integral arises naturally from real definite integrals via Riemann sums, and we examine some of the properties of this new sort of integral. In particular, we consider some c
From playlist Analytic Number Theory
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
What is a function which is its own derivative? - Week 4 - Lecture 13 - Mooculus
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From playlist Ohio State: Jim Fowler's Calculus One Lectures | CosmoLearning Mathematics
Terence Tao: Vaporizing and freezing the Riemann zeta function
22 giugno 2018 - Terence Tao, professore alla University of California di Los Angeles e Medaglia Fields 2006, parla delle sue ricerche sull'ipotesi di Riemann, uno dei piΓΉ importanti problemi aperti della matematica.
From playlist Number Theory
Jon Keating: Random matrices, integrability, and number theory - Lecture 1
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
Real Zeros, Factors, and Graphs of Polynomial Functions
This video explains the connection between zero, factors, and graphs of polynomial functions.
From playlist Finding the Zeros of Polynomial Functions
Inequalities with Rational Functions (Precalculus - College Algebra 47)
Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to determine the interval of the solution set for inequalities with rational functions. Focus will be on using multiplicity of x-intercepts and vertical asymptotes to dete
From playlist Precalculus - College Algebra/Trigonometry
Domain of a simple rational function in interval and set notation
π Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain of a rational function, we first find the values of x
From playlist Domain of a function with a fraction | Linear