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Related Concept Videos

Solving Equations Graphically01:27

Solving Equations Graphically

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Graphical methods provide an intuitive and visual means of solving equations by representing functions on the coordinate plane. These methods are especially helpful for estimating solutions, analyzing complex expressions, or understanding the behavior of functions.To solve an equation graphically, it must first be expressed in the form y = f(x). The solution to the original equation corresponds to the x-values where the graph intersects the x-axis, meaning where f(x) = 0.For example, the linear...
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Graphical Representation of Inequalities01:28

Graphical Representation of Inequalities

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The graph of the equation where y equals x squared forms a curve known as a parabola. This curve acts as a boundary in the coordinate plane, dividing it into distinct regions based on the relative position of points.When the equality sign in the equation is replaced with an inequality—such as greater than, less than, greater than or equal to, or less than or equal to—the graphical representation changes from a single curve into a broader shaded area that signifies the set of all...
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Solving Inequalities Graphically01:24

Solving Inequalities Graphically

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Solving inequalities graphically involves using a visual approach to determine where a mathematical expression meets a specific condition, such as being greater than or less than another value. By examining the position of a graph relative to the x-axis or another graph, it becomes possible to identify the range of x-values that satisfy the inequality. This method provides an intuitive understanding of solution intervals by showing where the inequality holds true.Graphical solutions to...
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Graphical and Analytic Representation of Sinusoids01:20

Graphical and Analytic Representation of Sinusoids

998
Analyzing two sinusoidal voltages with equal amplitude and period but different phases on an oscilloscope, an instrument used to display and analyze waveforms, involves a three-step process.
The first step is measuring the peak-to-peak value, which is twice the amplitude of the sinusoid. This provides information about the maximum voltage swing of the waveform.
Secondly, the period and angular frequency are determined. The period is the time taken for one complete cycle of the waveform, while...
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Velocity and Position by Graphical Method01:34

Velocity and Position by Graphical Method

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Velocity and position can be calculated from the known function of acceleration as a function of time. The total area under the acceleration-time graph and the velocity-time graph gives the change in velocity and position, respectively. In the case of an airplane, its acceleration is tracked using the inertial navigation system. The pilot provides the input of the airplane's initial position and velocity before takeoff. The inertial navigation system then uses the acceleration data to...
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Vector Algebra: Graphical Method01:10

Vector Algebra: Graphical Method

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Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...
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Related Experiment Video

Updated: Feb 12, 2026

How to Measure Cortical Folding from MR Images: a Step-by-Step Tutorial to Compute Local Gyrification Index
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Can Graphics Tell Lies? A Tutorial on How To Visualize Your Data.

Christopher Cabanski1, Houston Gilbert1, Sofia Mosesova2

  • 1Genentech Inc, South San Francisco, California, USA.

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Learn principles for effective data visualization to accurately communicate insights. Proper visualization avoids confusion and ensures data stories are told clearly and truthfully.

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Area of Science:

  • Data Science
  • Information Visualization
  • Scientific Communication

Background:

  • Data visualizations are crucial for interpreting complex datasets.
  • Effective visualizations enhance audience comprehension of key information.
  • Poorly designed visualizations can lead to misinterpretation and deception.

Purpose of the Study:

  • To present a tutorial on creating informative data visualizations.
  • To establish general principles for accurate data storytelling.
  • To guide users in avoiding common visualization pitfalls.

Main Methods:

  • Review of best practices in information design.
  • Development of a framework for creating accurate visualizations.
  • Guidance on selecting appropriate visual elements for data representation.

Main Results:

  • Identification of key principles for effective data visualization.
  • Demonstration of how to convey data accurately.
  • Examples of visualizations that clarify rather than confuse.

Conclusions:

  • Adherence to established principles ensures visualizations are informative and truthful.
  • Well-crafted visualizations are essential for clear data communication.
  • This tutorial provides a foundation for creating reliable data narratives.