Brian McLogan
How to write 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
Add two functions and determine the domain
👉 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...
Brian McLogan
Understanding if a logarithmic function is continuous or not
👉 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
Analyze the characteristics of multiple functions
👉 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
Adding, subtracting, multiplying and dividing two functions
👉 Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of...
Brian McLogan
Introduction into quadratic equation, roots, zeros and solutions
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Brian McLogan
Write the domain of a rational function with radicals
👉 Learn how to find the domain of rational functions with a radical numerator. 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...
Brian McLogan
How to find the implied domain of a function
👉 Learn how to find the domain of rational functions with a radical numerator. 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...
Brian McLogan
Determine the values a function is undefined and write the domain
👉 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,...
Brian McLogan
Using the vertex determine the domain and range of a parabola
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Curated Video
Understanding the Domain of Trigonometric Functions: Examining Denominators of Trig Ratios
In this video, students will learn about the domain of the six trigonometric functions by examining the denominators of the trig ratios. They will understand the reciprocal pairs of the trig functions and how they can be rewritten in...
Brian McLogan
Graph Trigonometric Functions | Trigonometry | Pre-Calculus
In this video I will cover how to graph the sine, cosine and tangent function. We will first explore where these graphs come from using the unit circle and then move into the characteristics of the graphs such as period, amplitude, phase...
Brian McLogan
How to convert scientific notation in real numbers
👉 Learn how to convert numbers from scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero...
Curated Video
Identifying Real and Complex Roots of Quadratic Equations
In this video, the teacher explains how to identify whether a quadratic equation has real or complex roots without actually solving it. The concept of the discriminant is introduced and its role in determining the number and type of...
Why U
Algebra 08 - Unions of Intervals
Interval notation is often the simplest way to describe sets of real numbers as regions on the number line. Some sets which cannot be represented by a single interval can be written in interval notation as the union of two or more...
Curated Video
Use variables to store data : Working with Variables and Data Types – Part 1
From the section: Java Introduction and Development Environment Setup. In this section, you will be introduced to Java 11. The Java programming language is widely used in the development of web and cellphone applications. In this...
Brian McLogan
The best explanation of domain and range with multiple examples
👉 Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Brian McLogan
What is the domain and range of a quadratic graph
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Brian McLogan
How to write the domain of a radical function
👉 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...
Brian McLogan
Cram For Your Exponential and Logarithmic Function Test
In this video we will study everything you need to know for exponential and logarithmic functions. We will begin by graphing and then move into simplifying expressions and solving.
Brian McLogan
Algebra 2 - Learn how to add two sets of complex numbers using the imaginary unit i
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
Label the transformations domain and range from exponential function
👉 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,...
Brian McLogan
Find the transformations and domain and range, cubic function
👉 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,...
Brian McLogan
Subtraction of real numbers both positive, 5 - 3
👉 You will learn how to add and subtract integers. We will work through adding and subtracting two integers up to multiple integers. We can look at adding and subtracting integers by looking at there values on a number line where there...