Question

How do I shade in a graph using Socratic's graph function?

Answer 1

Through the use of less than and greater than functions.

Explanation:

You can use less and greater than equations to create shading.

A simple example is `y < x`, with the "equation box" being "y < x" which results in a dotted boundary line:

graph{y < x [-10, 10, -5, 5]}

And `y <= -x` gets the solid boundary line:

graph{y <= -x [-10, 10, -5, 5]}

We can put them together (I'm using "(y-x)(y+x)<0"):

graph{(y-x)(y+x) < 0 [-10,10,-5,5]}

And you can use this functionality to make shapes by graphing lines and curves and then using functions to limit what is actually graphed. This answer has more on that:

https://socratic.org/questions/how-do-you-graph-two-or-more-functions-on-the-same-graph-with-the-graphing-utili