Brian McLogan
Evaluate the limits from a graph with horizontal and vertical asymptotes
👉 Learn how to evaluate the limit of a function from the graph of the function. 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. When...
Amor Sciendi
A Message in a Garden
We visit the Gardens of Versailles to look at the extraordinary work of Andre Le Nortre, and Absolute Monarchy through the lens of Garden designing.
Brian McLogan
MASTER Graphing a quadratic function in vertex form, identify vertex, axis of symmetry and domain
Welcome to McLogan. So what I'd like to do is show you how to graph a quadratic when it's in vertex form. Now, when graphing a quadratic in vertex form, it's very important to know two things, one, what exactly is vertex form. And I...
Brian McLogan
End behavior of polynomials factored out
👉 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
Multiply a quadratic and linear function then determine domain
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
CuriosaMente
Which is the largest number? CuriosaMente #3_ENG
To what number is it possible to count? Is there a greater number than all, or does the account never end and is infinite? What is the largest number that anyone could have imagined? The concept of the largest number can be a bit...
Brian McLogan
Graphing exponential growth equations
👉 Learn how to graph exponential functions involving horizontal shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the...
Brian McLogan
Learn how to determine the intervals that a graph is increasing and decreasing
👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function....
Brian McLogan
Learn to Graph a Piecewise Function With Three Equations
👉 Learn how to graph piecewise functions. A piecewise function is a function that has 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
Graph the Piecewise Function With Three Equations
👉 Learn how to graph piecewise functions. A piecewise function is a function that has 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
Evaluate the limit of a graph with asymptotes
👉 Learn how to evaluate the limit of a function from the graph of the function. 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. When...
Brian McLogan
Evaluate the left and right hand limit by graphing the function
👉 Learn how to evaluate the limit of an absolute value function. 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 absolute value...
Brian McLogan
Determine 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...
Brian McLogan
Define Inc,dec,cont, intervals even,odd, functions and end behavior
Define Inc,dec,cont, intervals even,odd, functions and end behavior
Brian McLogan
Find the Inverse Function with Restrictions
Find the Inverse Function with Restrictions
Brian McLogan
Graph an exponential function with base 2 using a table
👉 Learn how to graph exponential functions. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table of values of the...
Brian McLogan
Graph Piecewise Functions With Exponential and Reciprocal
👉 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
Operations with functions and finding the domain of each
👉 Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of...
Brian McLogan
Summary for 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...
Brian McLogan
What is 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...
Brian McLogan
How to graph an exponential function
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Brian McLogan
Graph a logarithmic equation and determine the domain and range
👉 Learn how to graph logarithmic functions involving vertical shift. 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...
Catalyst University
Series | The Ratio Test: Theory and 1 Example
Series | The Ratio Test: Theory and 1 Example