Brian McLogan
Multiplying two functions together
👉 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
4e definitions (Basics of Graphing Sine, Cosine, Tangent)
4e definitions (Basics of Graphing Sine, Cosine, Tangent)
Brian McLogan
Solve Quadratics | Preparing for Precalculus Part 2
Solve Quadratics | Preparing for Precalculus Part 2
Brian McLogan
How to analyze a quadratic function to graph
👉 Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Describe transformations of a function in function notation
Describe transformations of a function in function notation
Curated Video
Analyzing the Domain of Linear Functions in Real Life Word Problems
In this video, the teacher explains how to analyze the domain of linear functions in real-life word problems. Using the example of purchasing music online, the teacher demonstrates how the context of the problem determines the...
Curated Video
Modeling Exponential Decay: Using Tables and Function Notation
In this lesson, students will learn how to model exponential decay using a table of values and function notation. They will understand the difference between linear functions and exponential decay functions, and how the decay factor...
Curated Video
Exploring Patterns and Writing Explicit Expressions
In this video, the teacher explains how to define an explicit expression by exploring patterns. They demonstrate how to find the rate of change and initial value in linear equations, and use these values to write the explicit expression.
Curated Video
How to Translate Linear Functions
In this math lesson, we learn about translating linear functions through horizontal and vertical transformations. The teacher explains the concept of function notation and how it relates to these transformations, providing examples and...
Brian McLogan
What you need to know | Rational Functions
In this video I present a set of problems to help prepare for learning about rational functions in precalculus. While rational functions is explored in Algebra 2 I decided to make it a separate unit in precalc based on how many students...
Brian McLogan
Solve by factoring out GCF
👉Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Curated Video
Graphing Linear Functions in Slope-Intercept Form
In this video, we learn how to graph linear functions in slope intercept form. The teacher explains how to find the slope, y-intercept, and x-intercept of a line, and provides examples of how to graph a line using function notation and a...
Curated Video
Function Notation
In this video lesson we will learn how to evaluate functions using function notation , as well as, how to interpret function notation. We will learn that function notation is a way to name functions to help us differentiate one function...
Brian McLogan
Define Function, Function Notation, Domain and Range
Define Function, Function Notation, Domain and Range
Curated Video
Exploring Arithmetic Sequences and Finding Explicit Rules
In this lesson, students learned about arithmetic sequences and how to find the explicit rule for a given sequence. They also practiced evaluating arithmetic sequences and finding specific terms. By understanding the concept of a common...
Curated Video
Introduction to Function Notation
Learn how to identify a function and then represent it using function notation, typically denoted as f(x). This video will clarify common misconceptions about f(x) and emphasize that it simply represents the output of the function when x...
Curated Video
Writing Mathematical Rules of Functions
In this lesson, students will learn how to write mathematical rules for functions using function notation. They will understand that functions consist of two sets of data and a rule that assigns each domain element to exactly one range...
Curated Video
Understanding Function Notation: Graphical and Tabular Interpretation
Explore the concept of function notation as explained through examples and visuals. The video demonstrates how to determine if a relation is a function by analyzing the domain and range. It also shows how to represent functions using...
Curated Video
Writing Explicit Formulas for Sequences
In this video, the teacher explains how to find specific terms in a sequence without listing out all the terms. They introduce the concept of an explicit formula using function notation, which allows for a quicker and more efficient way...
Khan Academy
Introduction to Functions
In this introduction to functions video, Sal intuitively defines a function and introduces the function notion f(x). He finishes the video by looking at a simple example of evaluating g(f(x)) without getting into the complexity of...
Khan Academy
Functions Part 2
This video continues to look at evaluating functions by looking at examples of evaluating basic composite functions.
Khan Academy
Functions (Part III)
Sal draws a graphical representation of a function, f(x), and builds and evaluates other functions based on that function.
Khan Academy
Functions (Part 4)
This video explores a listener's example of a function. You are given the composite function and one function, and you must find the other function.