Instructional Video10:40
Why U

Pre-Algebra 29 - Roots and Unit Fraction Exponents

12th - Higher Ed
Exponents can not only be integers. They can also be fractions. Using the rules of exponents, we can see why a number raised to the power "one over n" is equivalent to the nth root of that number.
Instructional Video2:37
Brian McLogan

Write the domain in interval notation of a rational function

12th - Higher Ed
πŸ‘‰ 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 Video7:20
Brian McLogan

Finding the implied domain with a quadratic denominator of a rational function

12th - Higher Ed
πŸ‘‰ 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 Video1:41
Brian McLogan

Add an absolute value function and quadratic to find the domain

12th - Higher Ed
πŸ‘‰ 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 Video7:15
Brian McLogan

Graph axis of symmetry vertex and max and min, domain and range

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video2:10
Brian McLogan

Overview of logs using exponents

12th - Higher Ed
πŸ‘‰ Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...
Instructional Video5:59
Brian McLogan

Learn how to determine the domain of a rational equation

12th - Higher Ed
πŸ‘‰ 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 Video2:33
Brian McLogan

How to add a cubic function and cube root function with domain

12th - Higher Ed
πŸ‘‰ 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 Video1:49
Brian McLogan

Find the difference of two quadratic equations to find the domain

12th - Higher Ed
πŸ‘‰ 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 Video3:18
Brian McLogan

Domain of a simple rational function in interval and set notation

12th - Higher Ed
πŸ‘‰ 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 Video7:38
Why U

Algebra 12 - Binary Relations

12th - Higher Ed
Fundamental to Algebra is the concept of a binary relation. This concept is closely related to the concept of a function.
Instructional Video4:19
Curated Video

Determining the Domain and Range of a Function

K - 5th
In this lesson, you will learn how to determine the domain and range of a function by analyzing sets, graphs, equations, and mappings. Understanding the definitions of domain and range is crucial in this process.
Instructional Video4:06
Brian McLogan

How to write the domain of a rational function

12th - Higher Ed
πŸ‘‰ 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 Video1:25
Brian McLogan

Add two functions and determine the domain

12th - Higher Ed
πŸ‘‰ 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 Video1:55
Brian McLogan

Understanding if a logarithmic function is continuous or not

12th - Higher Ed
πŸ‘‰ 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 Video18:58
Brian McLogan

Analyze the characteristics of multiple functions

12th - Higher Ed
πŸ‘‰ 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 Video9:37
Brian McLogan

Adding, subtracting, multiplying and dividing two functions

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video5:12
Brian McLogan

Introduction into quadratic equation, roots, zeros and solutions

12th - Higher Ed
πŸ‘‰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...
Instructional Video2:06
Brian McLogan

Write the domain of a rational function with radicals

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video3:23
Brian McLogan

How to find the implied domain of a function

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video1:59
Brian McLogan

Determine the values a function is undefined and write the domain

12th - Higher Ed
πŸ‘‰ 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 Video4:32
Brian McLogan

Using the vertex determine the domain and range of a parabola

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video4:16
Curated Video

Understanding the Domain of Trigonometric Functions: Examining Denominators of Trig Ratios

K - 5th
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...
Instructional Video1:00:25
Brian McLogan

Graph Trigonometric Functions | Trigonometry | Pre-Calculus

12th - Higher Ed
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...