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8th Grade - 12th Grade
Transformation Identification - Function Families - Graph Transformations
Interactive Video
8th Grade - 12th Grade
Mathematics
Examine and comprehend the transformations applied to function families, including horizontal and vertical shifts, reflections, and stretches. Improve the ability to identify and describe these transformations, thereby applying these concepts confidently to various mathematical functions.
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9th Grade - 12th Grade
[Mastering Power Functions - Analysis of Form and Characteristics - Algebra Concepts]
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9th Grade - 12th Grade
Mathematics
Explore the general form and characteristics of power functions in algebra, gaining a deeper understanding of their structure and application. Develop the ability to identify power functions, rewrite them in alternative forms, and distinguish between valid and non-valid power functions by examining their properties.
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8th Grade - 12th Grade
Graphing Techniques - Rational Functions & Asymptotes - Functions & Graphs
Interactive Video
8th Grade - 12th Grade
Mathematics
Investigate rational functions by focusing on their domains, the impact of transformations, and asymptotic behaviors. Develop skills in graphing these functions effectively, with a particular emphasis on identifying and interpreting vertical and horizontal asymptotes.
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8th Grade - 12th Grade
Functions Analysis - Properties and Characteristics - Understanding Piecewise and Constant Functions
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8th Grade - 12th Grade
Mathematics
Focus on the analysis of piecewise and constant functions, highlighting their unique characteristics and graphical representations. Master skills in identifying key properties of these functions and understanding their significance in mathematical concepts.
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11th Grade - University
Exact Differential Equations - Concepts and Solutions
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11th Grade - University
Mathematics
Explore the fundamental aspects of exact differential equations by investigating conditions and methods for verifying exactness, along with integrating these equations to find solutions. Develop skills to solve exact differential equations, create graphical representations of solutions, and comprehend the influence of constants within solution sets.
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10th Grade - 12th Grade
Understanding Linear Functions - Graphing & Equations - Algebra
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10th Grade - 12th Grade
Mathematics
Explore the fundamentals of linear functions by focusing on identification, graphing, and equation representation. Master key algebraic concepts such as the slope-intercept form, apply the vertical line test, and analyze rates of change, gaining the skills necessary to differentiate linear functions from nonlinear ones.
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8th Grade - 12th Grade
[Function Graphing Skills - Exploring Function Tables - Understanding Cubic Functions]
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8th Grade - 12th Grade
Mathematics
Explore graphing functions and understand cubic functions by analyzing function tables with a focus on f(x) = x^3 - 6. Develop skills in interpreting inputs and outputs of functions, improving the ability to visualize and analyze mathematical graphs and relationships.
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8th Grade - 12th Grade
Graph Analysis and Evaluation - Function Tables - Exploring Graphs and Functions
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8th Grade - 12th Grade
Mathematics
Explore the fundamentals of graph analysis and understanding function tables, with a focus on functions and their various representations. Develop skills in identifying function properties and calculating function values at specific points.
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8th Grade - 12th Grade
Graphing Techniques - Understanding Rational Functions - Pre-Calculus
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8th Grade - 12th Grade
Mathematics
Explore the key concepts of graphing rational functions by focusing on identifying vertical, horizontal, and slant asymptotes. Develop an understanding of function behavior to effectively analyze characteristics and interpret graph features, applying these techniques to solve mathematical problems in real-world contexts.
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8th Grade - 12th Grade
Mastering Function Graphing - Notation and Types - Functions in Mathematics
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8th Grade - 12th Grade
Mathematics
Investigate the distinct features and behaviors of several mathematical functions and understand how function notation aids in simplifying graphing. Develop the skills to identify and articulate the graphical representations and properties of key functions, such as linear, quadratic, and cubic functions.
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9th Grade - 12th Grade
Understanding and Graphing Piecewise Functions - Functions Analysis
Interactive Video
9th Grade - 12th Grade
Mathematics
Understand the concept of piecewise functions and the techniques for plotting them accurately on graphs, focusing on the integration of open and closed points. Develop expertise in visualizing piecewise graphs by precisely defining intervals and endpoints.
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8th Grade - 12th Grade
Graphing Quadratic Functions - Intercepts & Symmetry - Understanding Quadratics
Interactive Video
8th Grade - 12th Grade
Mathematics
Understand the complexities of quadratic functions by focusing on graphing techniques, including finding intercepts, identifying the vertex, and determining the axis of symmetry. Achieve a thorough comprehension of quadratic graphs to enhance the ability to manually analyze and plot quadratic equations.
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9th Grade - 12th Grade
Analyzing Function Behavior - Intervals & Relative Extrema - Calculus Concepts
Interactive Video
9th Grade - 12th Grade
Mathematics
Analyze the behavior of quadratic and cubic functions to determine intervals of increase and decrease and identify relative extrema. Gain proficiency in graphing functions to predict changes and locate extremum points.
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