Instructional Video8:45
Brian McLogan

Completing the square to identify the foci center and vertices of an ellipse

12th - Higher Ed
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Instructional Video1:59
Brian McLogan

Learn to determine the points where a function is non differentiable

12th - Higher Ed
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is...
Instructional Video5:25
Brian McLogan

Finding the Slant Asymptote

12th - Higher Ed
👉 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...
Instructional Video2:24
Brian McLogan

Learning to write the domain of a rational function with an asymptotes and hole

12th - Higher Ed
👉 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...
Instructional Video2:06
Brian McLogan

Explaining if the tangent function is a continuous function or not

12th - Higher Ed
👉 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...
Instructional Video3:58
Brian McLogan

Learn to determine the value that makes the piecewise function continuous

12th - Higher Ed
👉 Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is...
Instructional Video4:56
Brian McLogan

Learn how to identify if a function is a polynomial and identify the degree and LC

12th - Higher Ed
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
Instructional Video1:59
Brian McLogan

Determine the values a function is undefined and write the domain

12th - Higher Ed
👉 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,...
Instructional Video6:15
Curated Video

Graphs of Trigonometric Functions

K - 5th
In this lesson, students will learn about the graphs of the four trigonometric functions (tangent, cotangent, secant, and cosecant) by relating them to the sine and cosine graphs. They will understand the patterns, zeros, and asymptotes...
Instructional Video13:46
Brian McLogan

Complete the square to identify foci, center, vertices and co vertices for an ellipse

12th - Higher Ed
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Instructional Video2:07
Brian McLogan

Learn how to find and classify the discontinuity of the function

12th - Higher Ed
👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuous if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump...
Instructional Video5:40
Brian McLogan

How do the logarithmic and exponential parent graphs compare

12th - Higher Ed
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Instructional Video1:57
Brian McLogan

Finding the vertical, horizontal and slant asymptotes of a rational function

12th - Higher Ed
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Instructional Video1:51
Brian McLogan

Evaluate the left hand limit of a rational function

12th - Higher Ed
👉 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...
Instructional Video1:59
Brian McLogan

Simplify and add two radical expressions

12th - Higher Ed
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Instructional Video3:34
Brian McLogan

What is a horizontal asymptote

12th - Higher Ed
👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...
Instructional Video3:59
Brian McLogan

Writing the equation of a parabola given focus and directrix

12th - Higher Ed
Learn how to write the equation of a parabola given the focus and the directrix. 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)....
Instructional Video4:59
Brian McLogan

How to write the equation of a parabola given focus and directrix

12th - Higher Ed
Learn how to write the equation of a parabola given the focus and the directrix. 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)....
Instructional Video3:34
Brian McLogan

How to find the equation of a parabola in conic sections given vertex and directrix

12th - Higher Ed
Learn how to write the equation of a parabola given the vertex and the directrix. 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)....
Instructional Video4:51
Brian McLogan

Graphing a logarithmic function with two reflections

12th - Higher Ed
👉 Learn how to graph logarithmic functions. 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 function. This is done by...
Instructional Video5:03
Brian McLogan

Writing the equation of a parabola given the focus and directrix

12th - Higher Ed
Learn how to write the equation of a parabola given the focus and the directrix. 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)....
Instructional Video2:03
Brian McLogan

Learn how to evaluate the limits of a graph with asymptotes

12th - Higher Ed
👉 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...
Instructional Video7:21
Brian McLogan

Finding the domain vertical asymptote and x intercepts of a logarithm

12th - Higher Ed
👉 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...
Instructional Video3:06
Brian McLogan

How to write the equation of a parabola in conic sections given vertex and directrix

12th - Higher Ed
Learn how to write the equation of a parabola given the vertex and the directrix. 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)....