Dr. G.P.
Dr. G.P.
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Відео

Simplifying a Factored Rational Function and Finding the Coordinates of the Resulting Hole
Переглядів 159 годин тому
Given a rational function in unsimplified factored form, we walk through how to simplify the function and find the coordinates [the ordered pair] for the resulting hole in the graph.
Rewriting a Factored Form Rational Function in Standard Form
Переглядів 99 годин тому
Given a rational function in unsimplified, factored form with a numerator of degree two and denominator of degree three, we convert the function to standard form.
Creating a Rational Function With Given Characteristics, but NOT Specific Values
Переглядів 89 годин тому
We're giving general characteristics of a Rational Function and tasked with writing a function that meets those criteria. For instance, the rational function is required to have a negative vertical asymptote, but the problem doesn't specify the actual value.
Finding Inverse of a Rational: Linear Binomial Over Linear Binomial
Переглядів 3014 годин тому
Given a rational function in the form linear binomial over linear binomial, we find its inverse and then the domain and range of both functions
Finding the Inverse of a Rational Function: Evaluate at a Given Value
Переглядів 2414 годин тому
Given a rational function in the form of a linear binomial over a linear binomial, we first find the inverse of the function and then evaluate the inverse at a given x value.
Finding Inverse of a Rational Function: Constant Term Added to Fraction
Переглядів 5114 годин тому
Given a rational function in the form f(x) = p(x)/q(x) a number, we find its inverse and then the domain and range of both the original and inverse functions.
Finding the Inverse of a Rational: Constant Term in Numerator
Переглядів 4314 годин тому
Given a rational function with only a constant term in the numerator, we find its inverse, along with the domain and range of the original function and the inverse.
Verifying Two Rational Functions Are Inverses
Переглядів 3214 годин тому
After reviewing the four steps to finding an inverse of a function, we walk through an example of how to use composition to verify two rational functions are inverses.
Rational Function Properties Review (Example 2)
Переглядів 61День тому
Given a rational function in both standard and factored form, we find the domain, asymptotes, intercepts, and coordinates of the hole.
Rational Function Properties Review (Example 1)
Переглядів 42День тому
Given a rational function in standard form, we find the simplified form, domain, asymptotes, and intercepts.
Writing a Rational Function From Given Characteristics (Example 3)
Переглядів 45День тому
Given the x-intercepts, vertical asymptotes, horizontal asymptote, and y-intercept, we write the rational function with those properties.
Writing a Rational Function From Given Characteristics (Example 2)
Переглядів 41День тому
Given the x-intercepts, vertical asymptotes, horizontal asymptote, and y-intercept, we write the rational function with those characteristics.
Writing a Rational Function From Given Characteristics (Example 1)
Переглядів 32День тому
Given the x-intercept, vertical asymptotes, and horizontal asymptote, we walk through how to create a rational function with those attributes.
Drawing Vertical and Horizontal Asymptotes Given a Rational Function Graph
Переглядів 38День тому
Given the graph of a rational function, we identify and draw the vertical and horizontal asymptotes for the function.
Finding the Oblique/Slant Asymptote Given a Graph of a Rational Function
Переглядів 29День тому
Finding the Oblique/Slant Asymptote Given a Graph of a Rational Function
Identifying Equations of Vertical and Horizontal Asymptotes from a Graph
Переглядів 56День тому
Identifying Equations of Vertical and Horizontal Asymptotes from a Graph
Graphing a Rational Function with a Slant/Oblique Asymptote
Переглядів 34День тому
Graphing a Rational Function with a Slant/Oblique Asymptote
Graphing a Rational Function that has a Hole
Переглядів 33День тому
Graphing a Rational Function that has a Hole
Dividing Rational Expressions Using the Bottoms Up Method to Factor
Переглядів 3214 днів тому
Dividing Rational Expressions Using the Bottoms Up Method to Factor
Dividing Rational Expressions
Переглядів 4614 днів тому
Dividing Rational Expressions
Simplifying Rational Expressions
Переглядів 4714 днів тому
Simplifying Rational Expressions
Multiplying Rational Expressions
Переглядів 3814 днів тому
Multiplying Rational Expressions
Finding the Inverse of Odd Index Radical
Переглядів 4528 днів тому
Finding the Inverse of Odd Index Radical
Finding an Inverse from a Graph
Переглядів 4028 днів тому
Finding an Inverse from a Graph
Inverse Functions: Definition and Finding an Inverse from an XY Chart
Переглядів 3128 днів тому
Inverse Functions: Definition and Finding an Inverse from an XY Chart
Finding Inverses of Polynomials
Переглядів 3128 днів тому
Finding Inverses of Polynomials
Multiplying 2x2 Matrices: Checking for Commutativity
Переглядів 2428 днів тому
Multiplying 2x2 Matrices: Checking for Commutativity
Given Graph of Two Functions: Find the Composition At a Given X Value
Переглядів 3728 днів тому
Given Graph of Two Functions: Find the Composition At a Given X Value
Composition of Functions Given an XY Chart
Переглядів 2828 днів тому
Composition of Functions Given an XY Chart

КОМЕНТАРІ

  • @MustafaKhan-m4v3u
    @MustafaKhan-m4v3u 13 днів тому

    Thank you Ma'am

  • @KeyserTheRedBeard
    @KeyserTheRedBeard Місяць тому

    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?

  • @strass141
    @strass141 Місяць тому

    Excellent ! THANKS.