Instructional Video3:05
Brian McLogan

How to find the left and right hand limit by not using a calculator

12th - Higher Ed
👉 Learn how to evaluate the limit of a function involving rational expressions. 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...
Instructional Video21:16
Brian McLogan

Characteristics of functions

12th - Higher Ed
👉 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...
Instructional Video4:48
Brian McLogan

Learn how to write the domain of a rational function using interval notation

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 Video4:35
Brian McLogan

How to find the domain of a rational equation

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 Video7:21
Curated Video

Graphing Shifted Exponential and Logarithmic Functions

K - 5th
In this lesson, students will learn how to graph shifted exponential and logarithmic functions by considering the spread of an Internet video. They will understand how changing the base affects the rate of growth or decay, and how...
Instructional Video3:58
Brian McLogan

Limits at infinity

12th - Higher Ed
👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Instructional Video3:27
Brian McLogan

Evaluate the limit of sinx over x

12th - Higher Ed
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. 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....
Instructional Video2:19
Brian McLogan

Evaluate the left hand limit at an asymptote algebraically

12th - Higher Ed
👉 Learn how to evaluate the limit of a function involving rational expressions. 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...
Instructional Video4:22
Brian McLogan

Learn to write the domain in interval notation of rational function

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 Video5:48
Curated Video

Identifying Holes in Graphs: Investigating Functions

K - 5th
In this lesson, students learn how to identify holes in a graph by investigating functions. They explore examples where the denominator of a function cannot equal zero, resulting in either an asymptote or a hole in the graph.
Instructional Video2:37
Brian McLogan

Write the domain in interval notation of a rational function

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 Video5:59
Brian McLogan

Learn how to determine the domain of a rational equation

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 Video2:52
Brian McLogan

Left hand Limit of a rational function at a hole

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 Video3:25
Brian McLogan

How to find the domain of a radical function

12th - Higher Ed
👉 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...
Instructional Video3:00
Brian McLogan

How to write the domain in interval notation with a factored denominator

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 Video2:58
Brian McLogan

Examples of removable and non removable discontinuities to find limits

12th - Higher Ed
👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuos 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 Video1:55
Brian McLogan

Understanding if a logarithmic function is continuous 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 Video5:33
Brian McLogan

Evaluate all the limits from a given graph

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 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 Video3:15
Brian McLogan

Are endpoints of a graph discontinuities?

12th - Higher Ed
👉 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...
Instructional Video1:53
Brian McLogan

How to evaluate the right hand limit at an asymptote

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 Video5:32
Brian McLogan

Graphing exponential growth functions

12th - Higher Ed
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...