Inverses
Antiderivitives Inverses
Quadratic Derivatives
Reciprocals
As we know we inverse equations they are
nothing but reflections over the line y=x. The nice thing about NuCalc
is it doesn't care if it isn't a function, it just plots the points and
connects the dots. So this is really just the original graphs all
reflected over y=x. At least the way I was taught to think about
inverses was as inverse functions. So in the way I was brought up
we would have restricted the domain to everything above or below the vertex
and then said what was left had an inverse function while the original
parabola didn't have an inverse. Due the reflection we could think
of anything that didn't pass a horizontal line test ( crossed more than
once ) wouldn't have an inverse. That is why with a parabola we can
limit the domain to have of the parabola and then we have a function.
If it won't pass a horizontal line test when you reflect it, it won't pass
the vertical line test which is a graphic way to define functions.
( For every x there is only one unique y )