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Dr. G.P.
Приєднався 31 лип 2020
Finding the Inverse of Odd Index Radical
The video includes an example of finding the inverse of a 7th root radical function, along with the domain and range of the original and inverse functions.
Переглядів: 32
Відео
Finding an Inverse from a Graph
Переглядів 3614 годин тому
Given a graph of a one-to-one function, we find and graph its inverse.
Inverse Functions: Definition and Finding an Inverse from an XY Chart
Переглядів 2414 годин тому
Definitions and theorems discussed include: notation of inverse functions, one-to-one functions, and the horizontal line test. An example of finding an inverse function from an XY chart is included.
Finding Inverses of Polynomials
Переглядів 2614 годин тому
After outlining the steps to algebraically finding an inverse, we find the inverse of a linear function and a fifth degree polynomial.
Multiplying 2x2 Matrices: Checking for Commutativity
Переглядів 2114 годин тому
After discussing the guidelines on matrix multiplication, we multiply two 2x2 matrices by hand to check if AB = BA [if the multiplication is commutative].
Given Graph of Two Functions: Find the Composition At a Given X Value
Переглядів 3614 годин тому
Given the actual graphs of two functions, the video walks through four different examples of how to find the composition of the two functions at a given value of x.
Composition of Functions Given an XY Chart
Переглядів 2714 годин тому
Given an XY chart for two separate functions, the video walks through four different function composition examples.
Given a Composite Function: Find the Original Two Functions
Переглядів 3114 годин тому
The video discusses two examples on how to identify the original two functions from a composite function [a function that is the composition of two other functions].
Composition of Functions: A Square Root with a Polynomial
Переглядів 2914 годин тому
Given a polynomial and a square root function, we find their composition and the domain of their composition.
Definition of Composition of Functions and Composition of Two Polynomials
Переглядів 3114 годин тому
After discussing the textbook definition for composition of functions, we work through three examples of composing two polynomial functions.
Synthesis of Polynomials: Combining Characteristics of Polynomials and Rational Zeros Theorem #2
Переглядів 3414 годин тому
Given a standard form polynomial, we are asked to identify the end behavior, degree, number of x-intercepts, the possible rational zeros using the Rational Zeros Theorem, all roots of the polynomial, the multiplicities of the zeros, the behavior of the graph at the zeros, and the factored form of the polynomial.
Synthesis of Polynomials: Combining Characteristics of Polynomials and Rational Zeros Theorem #1
Переглядів 2414 годин тому
Given a standard form polynomial, we are asked to identify the end behavior, degree, number of x-intercepts, the possible rational zeros using the Rational Zeros Theorem, all roots of the polynomial, the multiplicities of the zeros, the behavior of the graph at the zeros, and the factored form of the polynomial.
Synthesis of Polynomials: Finding an Equation from a Graph Ex #2
Переглядів 2414 годин тому
Given a graph of a polynomial, we use the characteristics of the graph to write the factored form equation for the polynomial.
Finding Equation of a Fifth Degree Polynomial Given its Roots
Переглядів 4614 годин тому
Given the zeros of a polynomials with the roots' multiplicities, we find the equation of the fifth degree polynomial in both factored and standard form.
Find The Equation of a Third Degree Polynomial Given Its Zeros
Переглядів 2114 годин тому
Given the zeros of a polynomial and the leading coefficient, we find the both the factored and standard form of the polynomial. The use of the Conjugate Roots Theorem is required.
Synthesis of Polynomials: Writing an Equation from a Graph Example #1
Переглядів 3016 годин тому
Synthesis of Polynomials: Writing an Equation from a Graph Example #1
Example 3: Rational Roots Theorem and Finding All Zeros
Переглядів 34День тому
Example 3: Rational Roots Theorem and Finding All Zeros
Graphs of Polynomials: Even Degree, Positive Leading Coefficient
Переглядів 34День тому
Graphs of Polynomials: Even Degree, Positive Leading Coefficient
Graphs of Polynomials: Odd Degree, Negative Leading Coefficient
Переглядів 31День тому
Graphs of Polynomials: Odd Degree, Negative Leading Coefficient
Graphs of Polynomials: Even Degree, Negative Leading Coefficient
Переглядів 33День тому
Graphs of Polynomials: Even Degree, Negative Leading Coefficient
Polynomial Functions: Finding Characteristics of a Polynomial in Standard Form
Переглядів 4614 днів тому
Polynomial Functions: Finding Characteristics of a Polynomial in Standard Form
Polynomial Functions: Characteristics of a Polynomial in Factored Form
Переглядів 5014 днів тому
Polynomial Functions: Characteristics of a Polynomial in Factored Form
Applications of Quadratic Functions: Maximizing Profit
Переглядів 3114 днів тому
Applications of Quadratic Functions: Maximizing Profit
Applications of Quadratic Functions: Throwing a Ball
Переглядів 4214 днів тому
Applications of Quadratic Functions: Throwing a Ball
Polynomial Functions: Definition of Behavior of the Graph at the Zeros
Переглядів 3214 днів тому
Polynomial Functions: Definition of Behavior of the Graph at the Zeros
Writing a Quadratic Function Given Its Zeros
Переглядів 3114 днів тому
Writing a Quadratic Function Given Its Zeros
Applications of Quadratic Functions: Finding the Value of X that Produces a Given Y Value
Переглядів 3714 днів тому
Applications of Quadratic Functions: Finding the Value of X that Produces a Given Y Value
Polynomial Functions: Finding the Degree
Переглядів 3814 днів тому
Polynomial Functions: Finding the Degree
Applications of Quadratic Functions: Finding X and Y Values for Blood Pressure Application
Переглядів 3314 днів тому
Applications of Quadratic Functions: Finding X and Y Values for Blood Pressure Application
Impressive video, Dr. G.P.. Looking forward to your next upload. I smashed the thumbs up button on your content. Keep up the fantastic work! Your explanation of polynomial functions and their properties was clear and engaging. How do you think understanding the degree and domain of polynomials will affect students' approach to more complex functions in calculus?
Excellent ! THANKS.