Brian McLogan
Learn how to write a vector in component form given the initial and terminal point
Learn how to write a vector in component form given two points and also how to determine the magnitude of a vector given in component form. Given two point vectors with one representing the initial point and the other representing the...
Brian McLogan
Left hand Limit of a rational function at a hole
👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities such as holes, asymptotes and jumps and...
Brian McLogan
Evaluate the limit of a quadratic function by observing the graph
👉 Learn how to evaluate the limit of a function involving polynomials. 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 limit of a...
Curated Video
Addressing Income Inequality: Fiscal Policy Options and Strategies
In this video, the presenter discusses how to address income inequality through fiscal policies. He explains the Lorenz curve and genie index as tools to measure income inequality, and suggests ways to move the curve closer to the line...
Brian McLogan
Learn how to graph the parent graph of a quadratic equation in standard form using a table
👉 Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
How to graph a linear inequality
👉 Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used...
Brian McLogan
How to maximize an objective function for linear programming
Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of inequalities, called the constraints....
Brian McLogan
Graphing a quadratic by converting to vertex form
👉 Learn how to graph quadratic equations by completing the square. 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...
Brian McLogan
How to find the domain of a radical function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
How do you graph a parabola using conic sections
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...
Brian McLogan
What is the end behavior from a graph?
👉 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...
Brian McLogan
Graph the Secant Function with a Phase Shift of pi Halves
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
Be careful when calculating the angle of a vector
Be careful when calculating the angle of a vector
Brian McLogan
Learn how to evaluate the left and right hand limits of a piecewise function with thre
👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Brian McLogan
Learn how to add two vectors using the parallelogram method
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Brian McLogan
How to determine if 3 graphs represent a function and determine domain range
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a...
Brian McLogan
What is an axis of symmetry
Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...
Brian McLogan
What do I need to know to solve a system of equations by substitution
👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Graphing a quadratic function in standard form
👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Solve and graph a compound inequality with algebra
👉 Learn how to solve and graph compound linear inequalities. A compound inequality is an inequality having more than 1 inequality sign. To solve compound inequalities, we use inverse operations, applying the inverse operation to each...
Brian McLogan
How to graph compound inequalities
👉 Learn all about solving and graphing compound inequalities. An inequality is a statement in which one value is not equal to the other value. A compound inequality is a type of inequality comprising of more than one inequalities. To...
Curated Video
Comparing Variability of Heights: Mean and Mean Absolute Deviation
Using the example of heights on WNBA and NBA teams, students will calculate the mean and MAD for each dataset, and then compare the variability between the two. This lesson helps students understand the importance of considering the MAD...
Curated Video
Creating Scenarios to Fit Linear Equations
In this video, learn how to create a verbal description of a linear relation by using a graph or equation. Review examples of scenarios that fit different equations and graphs, such as a wildfire spreading at a constant rate or a person...