Brian McLogan
Determine the horizontal and vertical asymptotes
👉 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...
Brian McLogan
Quotient of two functions then determine the domain
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Overivew of Rational Functions
👉 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...
Brian McLogan
Learn to identify the VA and HA from a rational function
👉 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...
Brian McLogan
Divide two functions then determine the domain
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Multiply a cubic and absolute value function to determine the domain
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Brian McLogan
Pre-Calculus - Quick overview of complex numbers and operations
In this math tutorial I will show you how write a complex number in standard form after simple operations have been performed. You will learn how to find the value of real and imaginary numbers in a complex number and then write it in...
Brian McLogan
Master how to determine the domain and range from a graph
Master how to determine the domain and range from a graph. Timestamps: 0:00 Intro 0:22 Graph #1 4:45 Graph #2 6:47 Graph #3 8:10 Graph #4 Corrections 9:36 Made a mistake in the inequalities. It should be 0 is greater than or equal to y,...
Brian McLogan
Inverse of a function with x in numerator and denominator
👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of...
Brian McLogan
How to determine the domain of a rational function
👉 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
Exam Review Determine which function is undefined
Exam Review Determine which function is undefined
Brian McLogan
4f Example 1 Part 3 (How to graph the Cotangent Function)
4f Example 1 Part 3 (How to graph the Cotangent Function)
Brian McLogan
Translating the reciprocal function to sketch it's graph
👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...
Brian McLogan
Inverse of a linear equation with fraction
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Brian McLogan
Inverse of a function with variable in numerator and denominator
👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of...
Brian McLogan
What are removable and non-removable discontinuties
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...
Brian McLogan
What is the domain of the product of a square root and reciprocal function
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Brian McLogan
Simplifying rational expressions with negative signs
Simplifying rational expressions with negative signs
Brian McLogan
Write the quotient in Standard Form
In this video series I show you how to simplify rational complex numbers. We do this by finding the complex conjugate of our denominator and multiplying both the numerator and denominator by this expression. It is important to use the...
Curated Video
Finding Zeros of Quadratic Functions by Factoring
In this video, the teacher explains how to find zeros of quadratic functions without looking at their graphs. The concept is introduced by using the Zero Product Property, which states that if the product of two numbers is zero, then at...