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Brian McLogan
Graphing logarithmic equations
👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Brian McLogan
Composition of a quadratic function to a square root function
Composition of a quadratic function to a square root function
Curated Video
Recognizing Functions Using the Vertical Line Test
Learn how to recognize functions using the vertical line test. Understand different ways to represent functions, such as through ordered pairs, mapping diagrams, tables of values, and graphs. This video demonstrates the application of...
Brian McLogan
Evaluating a limit at infinity horizontal asymptote
👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Brian McLogan
Evaluating the limit at infinity find horizontal asymptote
👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Professor Dave Explains
Sequences, Factorials, and Summation Notation
An introduction to sequences, factorials, and summation notation.
Professor Dave Explains
Graphing Rational Functions and Their Asymptotes
An introduction to asymptotes
Professor Dave Explains
Logarithms Part 1: Evaluation of Logs and Graphing Logarithmic Functions
An introduction to logarithms.
Looking Glass Universe
How real are the real numbers, really?
We usually say that infinity isnt real, but here well see how crucial it is to have one very big infinity for the real world; there is an infinite number of numbers. But why do we need real numbers at all? Arent rational numbers...
Professor Dave Explains
Set Theory: Types of Sets, Unions and Intersections
An introduction to set theory.
Curated Video
Graphing Polynomials: Factoring and Zeros
In this video, the teacher explains how to graph polynomials by finding the zeros through factoring. They discuss the behavior of graphs as x approaches infinity or negative infinity, and how it differs depending on whether the degree of...
Flipped Math
End Behavior
Determine which way to go. Pupils learn how the leading term determines the end behavior of a polynomial function. They see how to use the end behavior of a polynomial to identify the graph of the function before practicing their skills...
Flipped Math
Calculus AB/BC - Limits at Infinity and Horizontal Asymptotes
Learning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...
Flipped Math
Calculus AB/BC - Infinite Limits and Vertical Asymptotes
Infinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...
MinutePhysics
How to Count Infinity
To infinity, and beyond — but really, just between 0 and 1! Using illustrated examples, the narrator shows how all the infinity you could ever hope to find exists between the counting numbers 0 and 1.
PBS
A Hierarchy of Infinities
What's larger than infinity? Infinity plus one! Scholars learn about the different levels of infinity in the video that uses bijections as a way to show infinite sets as being the same size. They also and see that the set of real...
PBS
Singularities Explained
Math versus physical reality ... who wins? A short video discusses singularities, starting with division by zero in rational functions and moving on to real-world examples. It covers population growth doomsday equations, Navier-Stokes...
PBS
Kill the Mathematical Hydra
Feel like Hercules for a day. Individuals watch a video that describes how to defeat a mathematical Hydra that grows additional heads when one is cut off. The solution requires scholars to use ordinals and the well-ordering theorem.
PBS
How Infinity Explains the Finite
Using infinity to prove a sequence is finite sounds counter-intuitive, doesn't it? Scholar learn about hereditary base notation and the Goodstein sequence. They discover that proving the Goodstein sequence is finite requires infinite...
PBS
Infinite Chess
Imagine an infinitely-large chess board with an infinite number of pieces. Pupils learn about infinite chess and how it is a determined game, in that there is always a winning strategy. The video first applies Zermelo's Theorem to show...
Krista King Math
Limits at Infinity
Learn how to apply L'Hôpital's Rule. Scholars see how properties of limits and L'Hôpital's Rule help determine limits at infinity. They watch the derivation of the limit for one example function.