Brian McLogan
Writing the domain of a rational function with a radical in the denominator
π 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...
Brian McLogan
Learn to graph an ellipse when a and b are fractions
Learn how to graph vertical ellipse centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major radius...
Brian McLogan
Learn how to graph & label the parts of a parabola with completing the square
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Brian McLogan
How do you find the domain when the radical is in the numerator and denominator
π Learn how to find the domain of rational functions with radicals in both the numerator and the denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function,...
Brian McLogan
Explain how to write the domain interval notation for a rational function
π 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
Applying the dot product between two vectors with a scalar
Learn how to determine the dot product of vectors. The dot product of two vectors also called the scalar product of the vectors is the sum of the product of the components of the vectors in each direction. When the magnitudes of the...
Brian McLogan
Use the definition of a derivative to evaluate the limit
π Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
Summary for solving a quadratic by the square root method
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 to apply the quadratic formula to find one solution
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
How to graph a quadratic using vertex formula and a table
π 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
Graphing a linear system of inequalities and shading their solution
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
Determining the domain and range from a graph by completing the square to graph
π 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
Solving and graphing a compound inequality by breaking it up
π 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
What do I need to know to graph linear inequalities
π 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
What are Alternate Interior Angles
π Learn how to define angle relationship. Do you know the difference between interior and exterior angles? What is the relationship between parallel lines and transversal? When given parallel lines and a transversal we can label and...
Brian McLogan
How to determine if a set of points is a rectangle, rhombus or square
π Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of...
Brian McLogan
Overview of points lines plans and their location
π Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is...
Brian McLogan
Dividing a larger integer into a smaller integer to convert to decimal form 7/ 15
π In this video series you will learn how to divide integers. We will discuss basic division and then move to division using long division. Integers will be single digit as well as multi-digit problems. When a number the divisor does not...
Brian McLogan
How to set up trig word problems | 26 Examples
In this video I show you how to set up an equation and picture from a word problem. Most of the time students have trouble with word problems because they do not know what to look for or how to solve. So I work through 28 different...
Brian McLogan
What is the definition of a relation
π Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Brian McLogan
Solving a quadratic using quadratic formula with two real solutions
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Learn how to graph a system of two linear inequalities when the slope is 1
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
Graphing a quadratic function in standard form
π 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
How to solve and graph a compound inequality as AND
π 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...