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 Video3:18
Brian McLogan

Domain of a simple rational function in interval and set 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 Video6:49
Brian McLogan

How to determine if 3 graphs represent a function and determine domain range

12th - Higher Ed
👉 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...
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 Video5:13
Brian McLogan

Learn how to analyze the characteristics of a polynomial graph

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 Video4:06
Brian McLogan

How to write the domain 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 Video7:37
Brian McLogan

How to Graph a Piece Wise Function with Transformations

12th - Higher Ed
👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Instructional Video5:06
Brian McLogan

What is the relative mininum or maximum of a quadratic

12th - Higher Ed
👉 Learn the essentials for graphing a quadratic equation. 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...
Instructional Video6:01
Brian McLogan

Identify the transformations, domain and range of the reciprocal function

12th - Higher Ed
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
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 Video3:19
Brian McLogan

Learn how to evaluate the limit at infinity of a trigonometric function

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 Video1:37
Brian McLogan

Evaluate the limit at infinity with square root

12th - Higher Ed
👉 Learn how to evaluate the limit of a function by rationalizing the radical. 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...
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 Video13:51
Catalyst University

Lineweaver-Burke Equation: Theory and Derivation

Higher Ed
Lineweaver-Burke Equation: Theory and Derivation
Instructional Video5:31
Brian McLogan

What are the important things to know about the graph of a function

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 Video6:50
Brian McLogan

Learn How to Graph a Piecewise Function With Three Functions

12th - Higher Ed
👉 Learn how to graph piecewise functions. A piecewise function is a function that has more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Instructional Video1:32
Brian McLogan

Find the sum of a linear equation and square root function to find domain

12th - Higher Ed
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Instructional Video18:58
Brian McLogan

Analyze the characteristics of multiple 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 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 Video2:04
Brian McLogan

Understanding limit notation

12th - Higher Ed
👉 Learn about the limit of a 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 limit of a function is said to exist if the...
Instructional Video3:56
Brian McLogan

How to evaluate the left right and general limit from a graph with holes

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 Video2:48
Brian McLogan

Evaluate the limit to infinity of a graph to determine end behavior

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 Video11:13
Catalyst University

Series | The Integral Test: Theory and 1 Full Example

Higher Ed
Series | The Integral Test: Theory and 1 Full Example