Curated Video
Analyzing Quadratic and Linear Functions in Real Life Word Problems
In this video, we explore the concept of domain restrictions in quadratic functions by analyzing real-life scenarios involving linear and quadratic functions. We learn about function notation, linear functions with constant rate of...
Curated Video
Exploring Vertical Translations of Linear Equations
In this lesson, students will learn about vertical translations of linear equations. They will explore how these translations affect the graph and algebraic representation of the equations. By understanding the similarities and...
Curated Video
Identifying Zeros of Perfect Square Quadratic Functions by Factoring
In this lesson, students will learn how to identify the zeros of a quadratic function that fits the perfect square pattern by factoring. They will understand that the zeros of a function are the input values that make the function equal...
Curated Video
Finding X-Intercepts of Quadratic Functions by Factoring
In this video, the teacher explains how to find the x-intercepts of a quadratic function by factoring. They clarify the difference between y-intercepts and x-intercepts and demonstrate how to use the zero product property to find the...
Curated Video
Identifying Function Properties Using Algebra and Real-World Examples
In this lesson, students will learn how to determine whether relations are functions by using the vertical line test and analyzing algebraic equations. They will understand that not all equations are functions, and that it is important...
Curated Video
Analyzing Domains and Ranges in Mathematical Situations
In this video, students learn about evaluating mathematical situations by analyzing the domain and range of functions. The examples provided include determining the number of songs Sam can download with a gift card and calculating the...
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
Graphing Lines in Non-Slope Intercept Form
In this video, the teacher explains how to graph a line that is not in slope intercept form. They demonstrate how to isolate the variable and simplify fractions to write the equation in slope intercept form. The teacher also emphasizes...
Curated Video
Exploring Function Notation
Explore the concept of renaming a function using function notation. They demonstrate how to determine if a graph is a function using the vertical line test and solve equations for Y to determine if Y is a function of X.
Brian McLogan
Evaluating Inverse Trigonometric Functions
👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Curated Video
Evaluating Functions: Introduction to Function Notation
This video explains how to evaluate functions written in function notation by substituting specific domain values. It discusses the concept of relations and functions and show examples of determining if a relation is a function or not....
Brian McLogan
Evaluating Inverse Trigonometric Functions
👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Curated Video
Factoring Quadratic Functions: Finding Zeros of Difference of Two Squares
In this video, the teacher explains how to identify the zeros of a quadratic function that is a difference of two squares by factoring. They provide examples and explain the concept of zeros being the input values that make the function...
Curated Video
Determining Functions Using Tables and Graphs
In this video, students learn how to determine whether a relation is a function by considering tables and graphs. The concept is explained using relatable examples, such as a gumball machine. The video also introduces the use of function...
Brian McLogan
Learn how to use the formula for vertex and axis of symmetry to graph a parabola
👉 Learn how to graph quadratics in standard form. 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...
Curated Video
Interpreting Function Notation: Understanding f(x)
In this video, we explain how to interpret function notation by looking at the language of F of X. We clarify two common misconceptions about function notation and demonstrate how it is used to identify relationships between variables in...
Brian McLogan
What is subscript notation and how does it relate to functions
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric...
Brian McLogan
Graphing and evaluating piecewise functions
👉 Learn how to graph piecewise functions. A piecewise function is a function which have 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
Function notation
👉 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
How to eliminate the parameter and graph the equation
👉 Learn all about how to graph exponential functions. In this playlist, we will explore graphing exponential functions with a base e as well as with other numbers. We will graph each exponential function using transformations and then...
Brian McLogan
How to determine if an equation is a linear relation
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must...
Brian McLogan
Evaluate piecewise functions
👉 Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the constraints of each function as you can only...
Curated Video
Standard Form: How to Rewrite a Linear Equation
In this video lesson we will learn about the Standard Form of a linear equation. We will learn that A, B, and C must be integer values and A must be positive. We will learn how to rewrite an equation in slope-intercept from into Standard...
Brian McLogan
Summary for end behavior of a polynomial
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...