# How To Graph A Piecewise Function On Desmos

How To Graph A Piecewise Function On Desmos – So last weekend I traveled to Desmos HQ in San Francisco, CA for 2.5 full days of being a Desmos-Math-Nerd with about 40 other Desmos Fellows from all over the US and Canada and 15 other Desmos teachers and Desmos staff. Words to be defined this weekend include but are not limited to:

The weekend was the same as me trying to overcome hypocrisy/general anxiety and I wished for more time to talk about math with my new life friends.

## How To Graph A Piecewise Function On Desmos

Since I’m better at technical details than emotional ones, let’s start with some Desmos hacks I’ve found that have been BIG TIME for me:

#### Scolary — Desmos

Melvin and I were responsible for the Point Collector game and we both wanted to try drawing Desmos models. We were all familiar with the cat information for Desmos and we knew that we could use nested functions and some additional constraints to create regions to collect ideas like this:

However, the problem for those of you who have played soccer in the past is that we have to exclude some regions in our graph. And he and I were at the end of our Desmos rope, so we did what any good digital citizen would do,

But I didn’t know why it worked. I knew that was it. Now that I’m back home I’ve been thinking and this is what I’ve come up with so far:

Let’s say you want to float between two lines, the way I’ve done it in the past is to write the lines as a function, then draw on the line third the limiting condition for all values ​​of y above one function and below the other function. It works great for lines, but when you get to some of the more complex functions or lines that aren’t functions, the calculations for circles and ellipses can get confusing with my old method. My students have done a lot of Desmos design work over the past 6 years, so in the past we’ve been banging our heads against the wall and trying to get the picture right. the way we want.

#### Piecewise Linear Functions

New method: take your figures and set the statistics to zero. y=2x+3 becomes y-2x-3=0 and y=2x+4 becomes y-2x+4=0. Then multiply the equations together to create your own equation that shades between or outside the two equations. (NOTE: this also means that if you set (equation1)(equation2)=0, all equations will be displayed for you at the same time using only one desmo line!)

If you’re wondering, like me, why this is useful, I don’t have an answer for you. After you graph something like this:

(y-x-1)(y-x-5)=0 I understand why you made 2 lines. Because either y-x-1=0 or y-x-5=0 and you have these two positions . So I’m not sure and thinking about it

The shaded region is all pairs of coordinates that satisfy the condition that y-x-1<0 or y-x-5<0. But I lose that train of thought when I step out of scope and think back to the purple ellipse and the circle above.

## Solved] Calculus12 Roller Coaster With Differentiation, Continuity….

Either way, I love this new shading hack in Desmos and will continue to wonder why it works.

If you don’t know who Jay Chow (@mrchowmath) is, go fix it now. My blog can wait. In fact, I will wait here and you will follow him.

I’m not sure when I first came across Jay on the internet, but I know that in May 2018 he started doing Desmos Computational Layer webinars (think computer coding that makes Desmos AB better ) and I was very excited to learn more. So, after Hawaii time is not the same as North Carolina time (I may have accidentally missed the first two webinars because I was sleeping…), I started to dip my toes into CL. Here’s the first tweet interaction proof of the many ways Jay tackles my big Desmos ideas:

Within a week, he made an activity builder with 4 different ways to check the color of the objects of my dreams, and he showed me a better way to do it to show the activity. if the solution entered by the student is correct. .

#### Piecewise Defined Functions

While we were at Desmos HQ, we had some time to work on a Desmos project of our choosing. I decided to study AB, which allows students to find coordinate rules for transformations. To do this, I wanted a GIF of a face moving on a plane, but I ran into a problem because GIFmos does not send labels from graphs. Don’t mind. Jay can fix that.

With two lines of code, my graph came to life. He did this by using my previously classified variables on the model image.

The basis of the activity animation is to create a graph with ONE slider to describe the entire activity. For the first slide, there is a slide t that goes from 0<t<1.

To activate the flow, go to the AB control panel, click the function on the graph, and paste the code shown:

## How Do I Tell If A Piecewise Function Is Odd Or Even?

Where animationDuration is the duration of the slider (so this is 1 because the duration from 0 to 1 is the same. BUT if you have a slider that traveled from -2 to 8, in that case it should be to set animationDuration to 10 ) .

Another simple thing that Jay showed me was how to “turn on” the parameters after the conversion. It was so easy I don’t know why I didn’t think to try it:

Do you see these limitations in thought? On this slide, the a-value is a slide and goes from 0-2 for thoughts to occur. So, when the scroll reaches 2, the names appear. Nice, right?

Here are two new things I learned about Desmos from Fellows Weekend! I’m sure there will be more articles on the blog to come, but for now my brain is very confused with the delay.

## Writing Piece Wise Defined Functions • Activity Builder By Desmos

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