Curated Video
Understanding Function Notation and Graphing
In this video, the teacher explains the concept of f of x and how to represent it graphically. They discuss function notation, the difference between multiplication and function evaluation, and how to plot points on the graph of a...
Curated Video
Understanding Linear Functions through Graph Analysis
Learn to define linear functions by analyzing graphs of the forms y = x and y = mx. Understand that linear functions have a constant rate of change and that the coefficient of x, also known as the slope, determines the steepness of the...
Curated Video
Sketching Cubic Functions with Unfactored Elements
This is a lecture presentation on sketching cubic functions and identifying their intercepts and turning points. The presenter explains the general shape of a cubic function and different factorized forms for cubic functions with one,...
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...
Curated Video
Restricting the Domain to Create Functions
This video explains the concept of putting restrictions on the domain of a function in order to make it well-defined. They give examples of functions and demonstrate how to determine the values that cause the function to be undefined. By...
Curated Video
Introduction to Exponential Functions: Graphing and Transformations
This video covers presentations on exponential functions and explores the special exponential function of y = E to the X. The video demonstrates how to calculate gradient functions on exponential graphs and how to sketch variations of...
Curated Video
Introduction to Sine, Cosine, and Tangent Functions and Their Graphs
The video provides a clear explanation of the sine, cosine, and tangent functions and their corresponding graphs. It starts by introducing the unit circle and how it relates to the functions. Then, it explains the formulas for each of...
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Determining if a Relation is a Function or Not
In this lesson, students will learn how to determine if a relation is a function or not. By analyzing information and rules, they will be able to identify functions by looking for unique matches between domain and range elements. They...
Curated Video
Understanding Linear Functions and Graphs
Learn how to identify a linear function by analyzing its characteristics. Understand that linear functions have a straight line graph and a constant rate of change. The video also covers the slope-intercept form of a linear equation,...
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Recognizing Functions: Ordered Pairs, Mapping Diagrams, Tables, and Graphs
In this video, the teacher explains the difference between relations and functions in mathematics. They discuss how to identify functions using ordered pairs, mapping diagrams, tables, and graphs. The teacher also provides examples and...
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
Understanding Zeros of Polynomial Functions
In this video, the concept of "0's" in polynomial functions is explored. A "0" is an input value that yields an output of 0 in a function. The video explains how to identify and find the 0's of a function, and how they relate to the...
Curated Video
Understanding Quadratic Functions and Graphs
In this video, students will learn about quadratic functions and how they are represented graphically. The video explains the difference between linear functions, which have a constant rate of change and produce a straight line graph,...
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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
Graphing Exponential Functions: Understanding the Gradient Function
The video is a lecture on exponential functions, specifically focusing on the gradient function of A to the power of X. It covers topics such as exponential growth and decay, X-axis asymptotes, and the relationship between A and the...
Curated Video
Understanding Function Notation and Evaluating Functions
In this video, the teacher explains how to use function notation to evaluate functions and determine output values. They provide examples of using numerical inputs, expressions, and even other functions as inputs.
Curated Video
Introduction to Composite Functions in Mathematics
This video explains the concept of composite functions and how to work with them. It provides examples of combining different functions and substituting one function into another. The video also shows how to find the range of a composite...
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Exponential Functions and Graph Transformations with Constant Proportions
The video is a lecture presentation on exponential functions, specifically focusing on the equation Y = E to the power of K * X. The presenter explains the transformations of graphs and how they relate to exponential functions, using...
Curated Video
Identifying Function Properties in Real-World Examples
This video explains how to determine if a parking garage represents a function relation. Learn to define a function as a relation that takes any input and yields exactly one output. This lesson provides real-world examples, such as...
Curated Video
Graphs of Trigonometric Functions
In this lesson, students will learn about the graphs of the four trigonometric functions (tangent, cotangent, secant, and cosecant) by relating them to the sine and cosine graphs. They will understand the patterns, zeros, and asymptotes...
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.
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...
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Understanding Quadratic Functions with No Zeros or Real Roots
This video discusses the limitations of using zeros to graph a quadratic function and introduces the concept of functions with no zeros or real roots. It explains that if a quadratic function has no real number values that make it equal...
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Understanding Exponential Growth Functions
In this video lesson, students will learn about exponential growth functions and how they can be represented using factors and intervals. The lesson demonstrates how the base and exponent in an exponential function determine the rate of...
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