Curated Video
Domain and Range
โDomain and Rangeโ explains when a relation is a function. The video also describes how to determine the domain and range of a given function.
Vlogbrothers
How Big is the Universe?
In which Hank explains how and why phycisists think that the univers has no edge.
Let's Tute
The Mind-Blowing Concept of Infinity Explained
This video explores the concept of Infinity and how it is not a number but a representation of the size of a never-ending number line. It delves into countable and uncountable infinities, and even touches on the practical applications of...
Flipping Physics
#34 Mechanics Multiple Choice Solutions - AP Physics C 1998 Released Exam
This problem is determining the velocity of an object falling with a drag force (in other words, the acceleration is not constant).
ProTeachersVideo
Painting With Numbers: Zero to Infinity
Marcus du Sautoy takes us on a tour of the mathematical universe - from zero to infinity - and shows us how weird and wonderful numbers can be. In this programme, Marcus explains how humans first started counting with the whole numbers,...
Curated Video
Describing the End Behavior of Polynomial and Exponential Functions
In this lesson, students will learn how to describe the end behavior of polynomial and exponential functions. They will understand that for polynomial functions, the end behavior is determined by the leading term, while for exponential...
Curated Video
Comparing Polynomial Functions: Determining Which Function Exceeds the Other
In this lesson, students will learn how to determine which of two polynomial functions eventually exceeds the other by comparing their degrees. By understanding the end behavior of polynomial functions and analyzing the leading terms,...
Catalyst University
Lineweaver-Burk Equation Theory and Derivation
Lineweaver-Burk Equation Theory and Derivation
Brian McLogan
Learn how to add two functions and evaluate and determine domain
๐ Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
How to add two functions reciprocal functions and find the domain
๐ Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Curated Video
Determining End Behavior of Polynomials
In this video, we explore the concept of end behavior in polynomials. We learn that the behavior of a polynomial as x approaches positive or negative infinity depends on the degree and leading coefficient of the polynomial. We examine...
Brian McLogan
Determine the intervals a function is increasing and decreasing and extrema using
๐ Learn how to find the extreme values of a function using the first derivative test. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A method that can be...
Brian McLogan
How to evaluate the limit to infinity of a rational function
๐ Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Curated Video
Graphing Cube Root Functions Using Transformations
In this video, the teacher explains how to graph cube root functions by using transformations. They review inverse functions and how they reflect over the line y = x. They also discuss the domain and range of cube root functions and...
Catalyst University
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
Brian McLogan
Evaluate the limit to infinity with ha asymptote
๐ Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Curated Video
Determining End Behavior of Graphs by Analyzing Equations
In this video, the teacher explains how to determine the end behavior of a graph by analyzing its equation. They discuss power functions with even and odd exponents, and how the graphs change as the exponent increases. The teacher also...
Brian McLogan
Adding two functions and finding the domain rational and radical
๐ Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Catalyst University
Lineweaver-Burke Plots Introduction and Theory
Lineweaver-Burke Plots Introduction and Theory
Curated Video
Comparing Polynomial and Exponential Growth: Tables and Graphs
In this lesson, we observe that as X approaches infinity, both polynomial and exponential functions approach infinity. However, through examples and graphs, we discover that exponential functions eventually surpass polynomial functions...
Professor Dave Explains
Logarithms Part 2: Base Ten Logs, Natural Logs, and the Change-Of-Base Property
An introduction to logarithms.
Brian McLogan
Characteristics of functions
๐ Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...