Brian McLogan
How does the graph of a function compare to it's inverse
👉 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...
Curated Video
How to Graph and Describe Multiple Transformations of Linear Function
In this video lesson we will review the effects of constants, h, a, and k on a linear function. We will learn that the constant h effects by transforming a function horizontally left or right. We will learn that the constant a will...
Curated Video
Representing Linear Functions with Graphs: Discrete vs Continuous Domains
In this video, the teacher explains how to represent linear functions with graphs using discrete and continuous data. They also discuss how to determine if a data set is discrete or continuous and provide real-life examples to illustrate...
Curated Video
How to Reflect Linear Functions
In this video lesson we will learn how to reflect a linear function. We will also learn how to identify a reflection using a graph and how to represent a linear reflection using function notation. We will discover that a linear function...
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...
Curated Video
Facts about Linear Functions
In this math video we will learn facts about linear functions. We will discuss the characteristics of a linear function in slope-intercept form. We will review that slope-intercept form is y=mx+b. We will discover that m represents the...
Curated Video
Stretch and Shrink Linear Functions
In this video lesson we will learn how to describe horizontal stretches and shrinks, as well as, vertical stretches and shrinks. We will learn that horizontal stretches and shrinks multiply each input by a factor and the function and its...
Brian McLogan
Graphing a linear function using a table y - 8 = -x
👉 Learn how to graph linear equations from the table of points. When given the table of points of a linear equation, we plot the x and y coordinates of the given table on the cartesian plane and join the ploted points to form a straight...
Curated Video
Identifying Linear and Nonlinear Graphs and Equations
In this lesson, students are introduced to the concept of linear functions, which create straight lines, and nonlinear functions, which do not. The lesson covers different ways to write linear equations, such as the slope-intercept form...
Curated Video
Understanding Arithmetic Sequences and Linear Functions
In this lesson, students will learn how to determine the explicit rule for an arithmetic sequence and how it represents a linear function. They will create a table of values and graph ordered pairs on a coordinate plane to visualize the...
Curated Video
Does the Graph Represent a Linear Function?
In this short math video we will answer a standardized math question where we determine "Does the Graph Represent a Linear Function?" We will begin by review that a the graph of a linear function is a line that is not vertical. We will...
Curated Video
Exploring Horizontal Translations of Linear Equations
In this lesson, students will learn about horizontal translations of linear equations. They will explore the similarities and differences between two functions, F of X and G of X, and understand how the graphs of these functions are...
Curated Video
Determining Linear and Nonlinear Functions
In this video, the teacher focuses on teaching students how to identify linear and nonlinear functions from tables, equations, and graphs. The teacher explains the characteristics of linear and nonlinear functions and provides examples...
Brian McLogan
Learn how to identify the inverse of a function and graph
👉 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
How to Graph a Piecewise Function
👉 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...
Brian McLogan
Master how to graph a linear equation using slope intercept form
Master how to graph a linear equation using slope intercept form
Brian McLogan
How to determine the domain of a linear function
Learn how to identify the domain and range of functions from equations. To do this we will need to sketch the graph of the equation and then determine how low and how high the graph travels for the range and how far left and how far...
Curated Video
Nonlinear Systems (2)
In this video we solve two systems of nonlinear equations. The first has an absolute value function and a circle (and we solve by graphing). The second has a linear function and a quadratic.
Curated Video
Recognizing Patterns in Nonlinear Functions
In this lesson, students will learn how to write a rule for a nonlinear function by recognizing patterns. They will explore linear and nonlinear functions, identifying common differences and patterns in tables of values. Through examples...
Why U
Algebra 84 - Monomial Building Blocks of Polynomial Functions
A polynomial is a sum of one or more terms called monomials. If we think of each monomial as a separate function, then a polynomial function can be thought of as a sum of these monomial functions. In previous lectures we have studied...
Brian McLogan
Graphing a linear inequality by the x and y intercepts
👉 Learn how to graph linear inequalities written in standard form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken...
Brian McLogan
Step by step algorithm for finding the inverse of a function
👉 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
How to divide two linear functions and 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
Graph a rational function with vertical and oblique asymptotes
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...