Catalyst University
Vmax at S of "Inifinity"? Or Something Else?
Vmax at S of "Inifinity"? Or Something Else?
Brian McLogan
Learn How to Graph a Piece Wise Function With Jump Discontinuity
👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
Master Graphing a quadratic by converting from standard to vertex form by completing the square
Welcome, ladies and gentlemen. So, what I'd like to do is show you how to graph a quadratic in vertex form when it's in standard form. And there's a couple different ways we can do this. Obviously, we could use some different methods to...
Brian McLogan
Determine the end behavior of a polynomial
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Curated Video
The Infinite Hotel Paradox
In this video, the concept of infinity is explored through the Infinite Hotel Paradox. The video also discusses scenarios involving an infinite number of passengers arriving on buses and how the manager assigns them to rooms using prime...
Brian McLogan
What is the vertex of an angle?
👉 Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides of the angle while the common endpoint of the two rays is called the vertex of the angle. Angle...
Brian McLogan
Domain of Rational Radical Function
👉 Learn how to find the domain of rational functions with a radical numerator. 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...
Brian McLogan
Where do logarithmic graphs come from
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Brian McLogan
How to determine, domain range, and the asymptote for an exponential graph
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....
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
Finding the end behavior of a polynomial to the fifth degree
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Applying transformations to graph an exponential function
👉 Learn how to graph exponential functions in base e. An exponential function is a function whose value increases rapidly. e is a constant called the exponential constant equal to 2.7183... To graph an exponential function, it is usually...
Brian McLogan
How to find the domain of a rational function with a radical in the denominator
👉 Learn how to find the domain of rational functions with a radical denominator. 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...
Curated Video
Analyzing the Multiplicity of Roots and Sign Changes in Functions
In this lesson, students will learn how the multiplicity of roots affects the graph of a function. They will understand that a double root splits the graph into two intervals with positive Y values on both sides, while roots with odd...
Barcroft Media
Controversial 'Cult' Leader Claims He Can Change The Weather
TROUBLING allegations have been made against a young 'spiritual leader' who claims to have powers such as telekinesis and the ability to change the weather. 30-year-old Bentinho Massaro has amassed an impressive following both in real...
Brian McLogan
Subtracting Functions and finding the domain in interval notation
Subtracting Functions and finding the domain in interval notation
Brian McLogan
MASTER How to graph a quadratic in standard form using the formula for axis of symmetry and vertex
Welcome, ladies and gentlemen. So what I'd like to do is show you how to graph a quadratic using the equation for a vertex as well as axis of symmetry. Now, I have two functions and I have two equations, and they're basically going to be...
Brian McLogan
Understanding different notations for end behavior
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Determining the domain vertical asymptote and x intercept of a logarithm
👉 Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by...
Brian McLogan
Determine end behavior using limit notation
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Determine the end behavior of a factored polynomial
👉 Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Brian McLogan
End behavior when it doesn't exist
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...