How To Do A Piecewise Function On Desmos

Juni 19, 2023 Posting Komentar

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Desmos is a powerful online graphing calculator that allows you to create complex mathematical functions with ease. One of the most useful features of Desmos is the ability to create piecewise functions, which are functions that have different rules for different parts of the input domain. In this tutorial, we will show you how to create a piecewise function on Desmos, step by step.

Step 1: Open Desmos

The first step is to open Desmos in your web browser. Simply navigate to https://www.desmos.com/ and you will be taken to the Desmos homepage.

Step 2: Create a New Graph

Once you have opened Desmos, you will need to create a new graph. To do this, simply click on the "New Graph" button in the top left corner of the screen.

Step 3: Define Your Function

To create a piecewise function on Desmos, you will need to define the different rules for different parts of the input domain. For example, let's say we want to create a piecewise function that is equal to 1 when x is less than -1, equal to x when -1 is less than or equal to x and x is less than 1, and equal to 2 when x is greater than or equal to 1. We can define this function as follows:

f(x) = {

1, x < -1

x, -1 ≤ x < 1

2, x ≥ 1

}

To enter this function into Desmos, simply click on the "+" button in the top left corner of the screen to add a new expression. Then, type in the function exactly as it is written above, using the "{" and "}" symbols to define the different rules.

Step 4: Plot Your Function

Once you have defined your function, you can plot it on the graph by clicking on the "Plot" button in the top left corner of the screen. You should now see a graph of your piecewise function on the screen.

Step 5: Customize Your Graph

Desmos allows you to customize your graph in a variety of ways. For example, you can change the color and style of the lines, add labels and titles, and adjust the scale of the axes. Simply click on the "Options" button in the top right corner of the screen to access these options.

Step 6: Save and Share Your Graph

Once you have created your graph, you can save it and share it with others. To save your graph, simply click on the "Save" button in the top right corner of the screen. You can then give your graph a name and description, and choose whether to make it public or private. To share your graph, simply copy the URL of the graph and send it to others.

Tips for Creating Piecewise Functions on Desmos

Here are some tips to help you create piecewise functions on Desmos:

Be careful when defining the different rules for your function. Make sure to use the correct symbols and syntax.

Use the "Preview" feature to check your function before you plot it on the graph. This will help you catch any errors or typos.

Experiment with different colors, styles, and labels to make your graph more visually appealing.

Don't be afraid to ask for help if you get stuck. There are many online resources available that can help you learn how to use Desmos.

Conclusion

Creating piecewise functions on Desmos is a useful skill for anyone who needs to work with complex mathematical functions. By following the steps outlined in this tutorial, you should be able to create your own piecewise functions on Desmos with ease. Remember to take your time, check your work, and experiment with different options to create a graph that meets your needs. Happy graphing!