Brian McLogan
More and More Examples of Rational Functions
π Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the...
Brian McLogan
Learn how to determine the number of imaginary,real positive &real negative zeros of a polynomial
π Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
Solving a two step equation with a rational term
π Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse...
Brian McLogan
Dividing two functions and finding the constraint
π Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Solving a quadratic using the square root method when there are no solutions
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
How the number of sign changes of a polynomial helps us determine the number or real zeros
π Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
Finding the first four terms of a rational rule with alternating signs
π Learn how to find the first five terms of a sequence. Given an explicit formula for a sequence, we can find the nth term of the sequence by plugging the term number of the sequence for n in the given formula. When n = 1, 2, . . ., 5...
Brian McLogan
Master Simplifying expressions with negative exponents
Master Simplifying expressions with negative exponents
Brian McLogan
Master Determining the number of real positive, real negative and complex zeros, descartes rule of s
Master Determining the number of real positive, real negative and complex zeros, descartes rule of s
Brian McLogan
Can you evaluate a log for a negative number
π Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The...
Brian McLogan
Learn to find the possible real positive & negative zeros from descartes rule of signs
π Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
My TIPS to find the implied DOMAIN of a function
In this video I will work through my favorite tips you will want to know to understand how to find the domain of a function algebraically. 00:00 intro 00:17 Difference Between Included and Excluded 02:31 Know your Graphs 04:23 Know your...
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Solving Linear Inequalities in One Variable
It explains and states rules to find the algebraic solutions of linear inequalities in one variable and represent the solution set graphically.
Curated Video
Proving the Negative Times Negative Rule
In this video, the teacher explains why a negative times a negative equals a positive using the distributive property. They review the rules for multiplying negative numbers and then demonstrate how the zero property and additive inverse...
Brian McLogan
Composing Two Functions Then Determining the Domain in Interval Notation
Learn how to compose two functions where one or both of those functions is/are radical. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of...
Brian McLogan
How to find the vertex of a parabola in vertex form
π Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Brian McLogan
How does the reciprocal function relate to the other basic functions
π Learn all about reciprocal functions. A reciprocal function is a function of the form f(x) = 1/x. The graph of a reciprocal function is composed of the vertical and the horizontal asymptotes and the points where the curve turns. For...
Brian McLogan
Why do you have to flip the sign of an inequality when multiplying by a negative number
In this video you will learn how to solve and graph inequalities. When solving inequalities you will use the same inverse operations as solving equations. The difference will be when you multiply or divide by negative numbers you switch...
Curated Video
The Complete Beginners Guide to Arduino - 2021 - 7-Segment Displays Using the MAX7219 - Part 2 - Integers
In this lecture, we are going to work with 7-segment displays using the MAX7219 - part 2 - integers. This clip is from the chapter "Step-by-Step Learning with Arduino Projects" of the series "The Complete Beginners Guide to Arduino -...
Brian McLogan
Master How to identify the transformations from a family of functions
Master How to identify the transformations from a family of functions
Curated Video
How to Find Square Roots
In this video lesson we will learn about square roots and how to find the square root of a perfect square. We will learn that the square root of any positive value has two square roots. We will discover the relationship between squaring...
TMW Media
A Matrix Defined
This program covers the very important topic of inconsistent and dependent systems in matrix math. Sometimes, a system of equations does not have a well-defined solution. For example, if we have two equations that represent two lines and...
Curated Video
Subtracting Integers Using a Number Line
Represent the subtraction of integers on a number line.