Question

Does anyone have a better method for restricting the domains of graphs using Socratic software?

Answer 1

I have a way to do this, but it is a bit tedious. If someone has a better way, I'm interested in learning it.

Explanation:

To restrict the domain on a Socratic graph to a bounded interval, I use:

Center of domain(center of interval): `c`
Radius of Domain (half the length of the interval): `r`

Multiply and divide by `sqrt( r^2 - (x-c)^2)`

Example

Graph `y = x` on the interval `[-1,3]`

Center 1, radius 2:

Graph: `y=x(sqrt(4-(x-1)^2))/(sqrt(4-(x-1)^2))`

graph{y=x(sqrt(4-(x-1)^2))/(sqrt(4-(x-1)^2)) [-8.376, 11.63, -2.39, 7.6]}

For an unbounded interval like `[a,oo)`,

Multiply and divide by `sqrt(x-a)`

`y = x^2` for `x >=1`

graph{y =x^2(sqrt(x-1))/(sqrt(x-1)) [-14.4, 17.64, -5.39, 10.6]}