Plotting with Sage!Yesterday we talked briefly about Sage, had you create an account and a project called 'Calculus Center'. Today we are going to use that project to plot functions. Let's get started:Log into your account at https://cloud.sagemath.com/.When you get in you should see a listing of your projects. Click the 'Calculus Center' project link.At the top you now want to click the "New" button.In the text box put the name plot_example and click the "Sage Worksheet" button. This will create a worksheet called plot_example where we will plot our functions.Now you will see a screen that looks like this:Now we can finally plot something. Type f(x)=x^2 next to the "1" and then plot(f) right under it. These are your plot commands. To have Sage execute your commands you can hit shift+enter or click the right arrow button underneath the "Files" icon. You should get this:Congratulations! You have now made a plot in Sage. One of the things to note is that the section with the commands to execute and the output is referred to as a cell. The portion that appears to have a grey, left, open parenthesis is the output or result of running your commands. A worksheet can have multiple cells. Let's demonstrate that by typing more commands below the black horizontal line. This will create a new cell in the worksheet. Now here is a more complex plotting example:In this example we did three additional things. First, we added a second function on the plot. Second, we changed where on the x-axis we make the plot with the domain variable. Third, we changed the colors of the plots to distinguish the two functions from each other.So let's recap what we learned:Projects are made up of worksheets and worksheets are made up of cells.Input commands like f(x)=x^2 and plot(f) into a worksheet cell and hit shift+enter to see the result next to the left, open parenthesis.More complex graphs can be made with commands like plot(f,domain,color="red)+plot(g,domain,color="green").Tomorrow we will use Sage to differentiate a function. Finally, if you want to jump to the other blog posts for Sage Week then here they are:Monday: Make your Calculus life easier with Sage!Tuesday/Today: Plotting functions with Sage!Wednesday: Differentiating functions with Sage!Thursday: Integrating Functions with Sage!Friday: Finding Critical Points and Limits with Sage!