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Find Values Using Function Graphs Interactive Videos
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Classification of Functions - One-to-One and Onto - Graph Analysis
9th Grade - 12th Grade
Mathematics
Learn the principles of distinguishing functions as one-to-one or onto using graph analysis. Acquire the ability to apply the vertical and horizontal line tests to effectively identify the characteristics of functions.
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Interactive Video
Definite Integrals - Area between Graphs - Calculus Concepts
10th Grade - 12th Grade
Mathematics
Focuses on understanding the principles of definite integrals and calculating the area between two curves. Develop skills in identifying integration limits, simplifying integrands, and solving integral problems, thereby enhancing mathematical proficiency.
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Interactive Video
Evaluating Inverse Cosecant - Reference Triangles & Unit Circle - Trigonometric Functions
9th Grade - 12th Grade
Mathematics
Explore concepts of evaluating inverse cosecant values using reference triangles and the unit circle within trigonometry. Develop skills to rationalize expressions and identify angle quadrants, enhancing understanding of inverse trigonometric functions.
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Sine and Cosine Graphing Techniques - Understanding and Analyzing Unit Circle Relationships
11th Grade - University
Mathematics
Learners will explore the concepts of graphing sine and cosine functions, focusing on their representation on the unit circle. The learning outcomes include the ability to graph these functions, recognize their cyclical patterns, and understand their significance in mathematics.
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Interactive Video
Calculus Skills - Differentiation Techniques - Product Rule Applications
11th Grade - University
Mathematics
Focus on advanced calculus concepts with a concentration on mastering the product rule. Apply the rule across various function types, including power, rational, and exponential functions. Develop proficiency in differentiating complex function products and evaluating derivatives at specified points, thereby enhancing problem-solving skills in calculus.
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Graphing Polynomial Functions - Continuity & Smoothness - Algebra Skills
11th Grade - University
Mathematics, Information Technology (IT), Architecture, Physics, Science
Investigate the graphing of polynomial functions with a focus on their continuity and smoothness as essential algebra skills. Develop the ability to sketch polynomial graphs, identify key properties of functions, and employ algebraic techniques to determine roots.
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Interactive Video
Limit Evaluation Techniques using Graphs and Tables - Understanding Continuous Functions
11th Grade - University
Mathematics
Explore the evaluation of limits in quadratic functions through graphical and tabular analysis, highlighting the significance of function continuity. Develop a strong grasp of calculus by mastering multiple approaches to limit evaluation, ensuring a deep understanding of how functions behave as variables near specific values.
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Interactive Video
Understanding Limits - Graphical Evaluation - Calculus Concepts
11th Grade - University
Mathematics
Examine the concept of limits using graphical methods, focusing on the behavior of quadratic functions as variables approach specific values. Gain a deeper understanding of limits by analyzing their graphical representation and learn to identify continuous functions effectively.
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Interactive Video
[Domain and Range - Graph Analysis - Function Graphs]
11th Grade - University
Mathematics
Understand the concepts of domain and range in the context of function graphs. Learn to accurately identify x-values and y-values present in these graphs, and use this knowledge to effectively analyze functions. By mastering these skills, gain the ability to determine the set of possible input values (domain) and the corresponding output values (range) for various functions.
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Understanding Functions - Vertical Line Test - Graph Analysis
10th Grade - 12th Grade
Mathematics, Information Technology (IT), Architecture, Religious Studies, Other, Social Studies, Physics, Science
Explore the concept of the vertical line test to understand and determine the functionality of graphs. Gain insights into analyzing graphs, identifying functions, and comprehending input-output relationships within mathematical contexts.
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Interactive Video
Understanding Differentiation - Critical Points - Graphing Functions
9th Grade - 12th Grade
Mathematics
Explore key concepts in calculus with a focus on differentiation, critical points, and graphing functions. Develop the ability to identify critical points, analyze function concavity, and graph complex functions using derivative tools effectively.
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Interactive Video
Product Rule Application - Differentiation Methods - Calculus Concepts
11th Grade - University
Mathematics
Explore the application of the product rule in calculus through examples involving differentiable, power, rational, and exponential functions. Enhance the ability to differentiate complex functions and evaluate derivatives at specific points, solidifying understanding of calculus principles.
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Interactive Video
Domain Restrictions - Exploring Square Root and Rational Functions
11th Grade - University
Mathematics, Science
Explore domain restrictions in mathematical functions, focusing on square root, rational, and cube root functions. Identify domain limitations and apply interval notation and algebraic expressions to solve domain-related problems, enhancing comprehension of these functions' properties.
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Interactive Video
Identifying Extrema - Calculus Concepts - Derivatives and Critical Points
9th Grade - 12th Grade
Mathematics
Explore finding and understanding absolute and relative extrema in calculus through graphical representations, first derivative tests, and critical numbers. Gain the ability to identify extrema, analyze graphs for critical points, and apply these calculus concepts to complex problems involving closed intervals and advanced functions.
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Interactive Video
Concept Mastery - Polynomial and Rational Function Analysis
10th Grade - 12th Grade
Mathematics
Explore polynomial and rational functions with a focus on end behavior, function construction, and domains. Develop skills in analyzing graphical behavior, constructing functions with specific characteristics, and determining function domains, enhancing problem-solving abilities in AP Pre-Calculus contexts.
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Interactive Video
Understanding Composite Limits - Exploring Graphical Analysis and One-Sided Limits
10th Grade - 12th Grade
Mathematics
Focus on the analysis of limits in composite functions through graphical depiction and one-sided limits. Develop skills in identifying continuity and applying limit concepts to enhance understanding of calculus functions and their behaviors.
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Interactive Video
Analyzing Domain and Range - Graphical Interpretation - Absolute Value Functions
8th Grade - 12th Grade
Mathematics
Explore the determination of domain and range in absolute value functions through graphical analysis and properties. Enhance comprehension of essential mathematical concepts by accurately identifying domains and ranges, interpreting graphs, and applying interval notation effectively.
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Interactive Video
[Understanding Step Functions - Video Quiz - Mathematics]
9th Grade - 12th Grade
Mathematics
Understand the characteristics of step functions through graphical analysis, emphasizing comprehension of their operation and identifying unique features such as horizontal segments and vertical jumps.
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Interactive Video
Function Analysis - Vertical Line Test - Domain and Range Concepts
11th Grade - University
Mathematics
Analyze graphs to determine if they represent functions by employing the vertical line test. Understand elements such as domain and range to recognize functions. Apply set notation to accurately describe domains and ranges and differentiate between functions and non-functions through detailed graph analysis.
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Interactive Video
Graphing Rational Functions - Asymptotes and Symmetry - Understand Graph Shapes
11th Grade - University
Mathematics
Explore a comprehensive guide on graphing rational functions by focusing on identifying vertical and horizontal asymptotes, calculating intercepts, and recognizing symmetry in graphs. Develop a deep understanding of graph behavior to enhance analytical skills in working with complex functions.
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