The “Graph in 2D” feature introduced in May 2017 is being improved gradually, and is now able to do much more than its simple name implies : let’s have a look at this amazing feature for student !

*[instead of illustrating this blog post with simplistic curves (linear curves, parabolas and hyperbolas…), I choose emblematic curves, and mentioned the name of the mathematicians having discovered or studied them : enjoy this journey into the world of Mathematics !]*

### Simple curves

Obviously, you can plot the curve of an equation with unknowns x and y, in a Cartesian coordinate system.

And not only equation written such as y = f ( x ) :

### You may even insert the graph on your note after resizing the plot area if necessary. The pasted graph is not interactive.

### Curve with parameters

More useful, you can add parameters to your equation, in order to change the proportions of the curve :

### Multiples curves

You may also plot **several **curves on the same graph, providing you group them with a bracket.

(This feature *may *be the one announced in May 2018, but I found its description “**Graph of multiple functions”** and accompanying illustration a bit confusing…)

Well, better have a look at my own illustration in the tweet below :

I just noticed that #OneNote for #Windows10 can plot multiple equations. I tried up to 10, and it worked flawlessly ! cc/ @OneNoteC @kurtsoeser @sig225 pic.twitter.com/fH6fIEr9Fx

— Albin LABELLE (@Noteadviser) July 21, 2018

Please note that :

– the legend may be exhibited moving the cursor over the “i” symbol,

– the color of the curves in the graph do not match those of the inked equation.

Also, I tried to plot both equations above (clover and lemniscate) but it didn’t worked : OneNote didn’t offer any option, except ink to math…

### Inequalities

Nevertheless, you can’t combine both features above (multiple curves and inequalities), as illustrated in this tweet :

Unfortunately not, although it can plot inequalities nicely if written in a single line. pic.twitter.com/jmRif6yvFL

— Albin LABELLE (@Noteadviser) July 24, 2018

### Fonctions

The announcement earlier in May stating that OneNote may support *functions*, puzzled me…

In fact, it seems that Microsoft was simply announcing support for multiple *equations* plotted in the same graph, as illustrated in the previous section.

And I am not merely quibbling about wording (*function* or *equation* ?) : as a matter of fact, experimenting with the same equation written in similar ways (equation & function), I noticed that OneNote makes a confusion with the **f** in **f ( x )** , believing it’s a parameter…

Indeed, writing **fx** instead of **f ( x )**, you’ll get the same result.

So, what’s the purpose of the new command “Graph both sides in 2D” ?

### Key features

Finally, OneNote may sometimes mention the key features of your equation such as minima, maxima, intercepts, asymptotes, inflexion points, range, domain… and show them on the graph.

### Shortcomings

Sometimes though, OneNote is not able to plot an equation :

Now it’s your turn to share your nicest curves !

**Reference :** All curves illustrating my blog post found on Mathcurve.