Question

Как построить график функцииy=sin-2x​

Answer 1

Объяснение:

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Answer 2

Building a Graph for y = sin(2x)

To build a graph for the function y = sin(2x), you can use various tools and methods. Here's a step-by-step guide on how to do it:

1. Using Graphing Calculators or Software: - You can use graphing calculators or software like Desmos, MalMath, or Mathway to plot the graph of the function y = sin(2x). - These tools allow you to input the function and visualize the graph instantly.

2. Manual Calculation and Plotting: - If you prefer to manually calculate and plot the graph, you can use mathematical software like Sage or even spreadsheet programs like Excel. - For example, in Sage, you can use the `plot` function to visualize the graph of the function.

3. Understanding the Function: - The function y = sin(2x) represents a sinusoidal wave with a period of π and an amplitude of 1. - The coefficient of x inside the sine function (2x) affects the frequency of the wave, causing it to oscillate more rapidly compared to y = sin(x).

4. Graphical Representation: - When you plot the graph of y = sin(2x), you will observe a wave that oscillates more frequently compared to the standard sine function y = sin(x). - The peaks and troughs of the graph will occur at intervals of π/2, and the amplitude of the wave will remain constant at 1.

5. Conclusion: - Whether you use graphing calculators, mathematical software, or manual methods, you can visualize the graph of the function y = sin(2x) to understand its behavior and characteristics.

Feel free to explore these methods to visualize the graph of the function y = sin(2x) and observe its sinusoidal nature.