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Brian McLogan
Graphing and solving a Or compound inequality
π Learn how to solve compound inequalities and graph their solution on a number line. A compound inequality is an inequality having more than 1 inequality sign. To solve compound inequalities, we use inverse operations, applying the...
Brian McLogan
Writing the equation from a graph
π Learn how to write the equation of a line from graph. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which we can write the...
Brian McLogan
Graphing a horizontal line by using a table of values
π Learn how to graph linear equations with one variable. When given a linear equation with one variable in the form x = a or y = c, the two forms of linear equations results in a vertical and horizontal lines respectively. The graph of...
Brian McLogan
Using the slope formula to determine if points make up a rectangle
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
Graphing a quadratic function in vertex form with multiple transformations
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
Solving logarithmic equations with extraneous solution
π Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Solving a natural logarithmic equation using quadratic formula
π Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Packt
Implementing Graph Animation
This video demonstrates how to implement graph animation.
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This clip is from the chapter "Algorithms: Graph Traversal" of the series "Data Structures and Algorithms: The Complete Masterclass".This section explains the concept...
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This clip is from the chapter "Algorithms: Graph Traversal" of the series "Data Structures and Algorithms: The Complete Masterclass".This section explains the concept...
Brian McLogan
Graphing the system of linear equations with one solution
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
Finding the Slant Asymptote
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...
FuseSchool
Quadratic Graphs - Roots and Y-Intercept
In this video we will look at how to use equation of a quadratic to sketch the graph. A positive x-squared means the graph is U shaped, whereas a negative x-squared is n shaped. When a quadratic is solved (either by factorising, using...
Brian McLogan
In General form find the foci, vertices and center of an ellipse
Learn how to graph vertical ellipse which equation is in general form. A vertical ellipse is an ellipse which major axis is vertical. When the equation of an ellipse is written in the general form, we first rewrite it in standard form...
Brian McLogan
Learning to write the domain of a rational function with an asymptotes and hole
π Learn how to find the domain of rational functions. 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. Thus, to find the domain...
Brian McLogan
How to write a parabola in standard form given two points
Learn how to write the equation of a parabola given a point on the parabola. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall...
Brian McLogan
How to graph a horizontal parabola by completing the square first (mistake)
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
Graph an ellipse with the center not at the origin
Learn how to graph horizontal ellipse not centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the...
Brian McLogan
Why we use interval notation?
π 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
What is the definition of a circle
Learn all about the definition and formula that makes up a circle. Understanding the basics of circles will help us graph and write the equation of circles to solve future problems in conic sections. A circle has a center (h,k) and...
Brian McLogan
Explaining if the tangent function is a continuous function or not
π 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 piecewise function by graphing
π 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 to evaluate the limit of the absolute value function
π 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
Learn to evaluate the limit of a piecewise function using left and right side limits
π 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
How to evaluate the left right and general limit from a graph with holes
π 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...